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Finding the Third Proportional to 61,565 and 132,952

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Solution

The third proportional to 61,565 and 132,952 is: 287,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,565 : 132,952 = 132,952 : x
  2. Step 2: Convert to fraction form
    61,565/132,952 = 132,952/x
  3. Step 3: Cross multiply
    61,565x = 132,952 × 132,952
  4. Step 4: Simplify right side
    61,565x = 17,676,234,304
  5. Step 5: Solve for x
    x = 17,676,234,304/61,565
  6. Step 6: Final answer
    x = 287,114.99

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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.