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Finding the Third Proportional to 59,737.50 and 89,262

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Solution

The third proportional to 59,737.50 and 89,262 is: 133,378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,737.50 : 89,262 = 89,262 : x
  2. Step 2: Convert to fraction form
    59,737.50/89,262 = 89,262/x
  3. Step 3: Cross multiply
    59,737.50x = 89,262 × 89,262
  4. Step 4: Simplify right side
    59,737.50x = 7,967,704,644
  5. Step 5: Solve for x
    x = 7,967,704,644/59,737.50
  6. Step 6: Final answer
    x = 133,378.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.