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Finding the Third Proportional to 61,897.50 and 129,870

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Solution

The third proportional to 61,897.50 and 129,870 is: 272,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,897.50 : 129,870 = 129,870 : x
  2. Step 2: Convert to fraction form
    61,897.50/129,870 = 129,870/x
  3. Step 3: Cross multiply
    61,897.50x = 129,870 × 129,870
  4. Step 4: Simplify right side
    61,897.50x = 16,866,216,900
  5. Step 5: Solve for x
    x = 16,866,216,900/61,897.50
  6. Step 6: Final answer
    x = 272,486.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.