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Finding the Third Proportional to 59,897.25 and 89,847

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Solution

The third proportional to 59,897.25 and 89,847 is: 134,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,897.25 : 89,847 = 89,847 : x
  2. Step 2: Convert to fraction form
    59,897.25/89,847 = 89,847/x
  3. Step 3: Cross multiply
    59,897.25x = 89,847 × 89,847
  4. Step 4: Simplify right side
    59,897.25x = 8,072,483,409
  5. Step 5: Solve for x
    x = 8,072,483,409/59,897.25
  6. Step 6: Final answer
    x = 134,772.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.