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Finding the Third Proportional to 124,971.94 and 178,583.81

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Solution

The third proportional to 124,971.94 and 178,583.81 is: 255,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,971.94 : 178,583.81 = 178,583.81 : x
  2. Step 2: Convert to fraction form
    124,971.94/178,583.81 = 178,583.81/x
  3. Step 3: Cross multiply
    124,971.94x = 178,583.81 × 178,583.81
  4. Step 4: Simplify right side
    124,971.94x = 31,892,178,087.04
  5. Step 5: Solve for x
    x = 31,892,178,087.04/124,971.94
  6. Step 6: Final answer
    x = 255,194.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.