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Finding the Third Proportional to 124,968.38 and 178,580.25

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Solution

The third proportional to 124,968.38 and 178,580.25 is: 255,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,968.38 : 178,580.25 = 178,580.25 : x
  2. Step 2: Convert to fraction form
    124,968.38/178,580.25 = 178,580.25/x
  3. Step 3: Cross multiply
    124,968.38x = 178,580.25 × 178,580.25
  4. Step 4: Simplify right side
    124,968.38x = 31,890,905,690.06
  5. Step 5: Solve for x
    x = 31,890,905,690.06/124,968.38
  6. Step 6: Final answer
    x = 255,191.81

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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.