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Finding the Third Proportional to 108,073 and 232,792

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Solution

The third proportional to 108,073 and 232,792 is: 501,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,073 : 232,792 = 232,792 : x
  2. Step 2: Convert to fraction form
    108,073/232,792 = 232,792/x
  3. Step 3: Cross multiply
    108,073x = 232,792 × 232,792
  4. Step 4: Simplify right side
    108,073x = 54,192,115,264
  5. Step 5: Solve for x
    x = 54,192,115,264/108,073
  6. Step 6: Final answer
    x = 501,439.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.