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Finding the Third Proportional to 124,794.18 and 178,457.16

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Solution

The third proportional to 124,794.18 and 178,457.16 is: 255,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,794.18 : 178,457.16 = 178,457.16 : x
  2. Step 2: Convert to fraction form
    124,794.18/178,457.16 = 178,457.16/x
  3. Step 3: Cross multiply
    124,794.18x = 178,457.16 × 178,457.16
  4. Step 4: Simplify right side
    124,794.18x = 31,846,957,662.49
  5. Step 5: Solve for x
    x = 31,846,957,662.49/124,794.18
  6. Step 6: Final answer
    x = 255,195.85

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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.