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Finding the Third Proportional to 59,649 and 89,472

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Solution

The third proportional to 59,649 and 89,472 is: 134,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,649 : 89,472 = 89,472 : x
  2. Step 2: Convert to fraction form
    59,649/89,472 = 89,472/x
  3. Step 3: Cross multiply
    59,649x = 89,472 × 89,472
  4. Step 4: Simplify right side
    59,649x = 8,005,238,784
  5. Step 5: Solve for x
    x = 8,005,238,784/59,649
  6. Step 6: Final answer
    x = 134,205.75

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Why These Related Problems?

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