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Finding the Third Proportional to 61,464 and 132,792

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Solution

The third proportional to 61,464 and 132,792 is: 286,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,464 : 132,792 = 132,792 : x
  2. Step 2: Convert to fraction form
    61,464/132,792 = 132,792/x
  3. Step 3: Cross multiply
    61,464x = 132,792 × 132,792
  4. Step 4: Simplify right side
    61,464x = 17,633,715,264
  5. Step 5: Solve for x
    x = 17,633,715,264/61,464
  6. Step 6: Final answer
    x = 286,895.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.