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Finding the Third Proportional to 63,792 and 131,715

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Solution

The third proportional to 63,792 and 131,715 is: 271,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,792 : 131,715 = 131,715 : x
  2. Step 2: Convert to fraction form
    63,792/131,715 = 131,715/x
  3. Step 3: Cross multiply
    63,792x = 131,715 × 131,715
  4. Step 4: Simplify right side
    63,792x = 17,348,841,225
  5. Step 5: Solve for x
    x = 17,348,841,225/63,792
  6. Step 6: Final answer
    x = 271,959.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.