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Finding the Third Proportional to 59,802 and 87,108

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Solution

The third proportional to 59,802 and 87,108 is: 126,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,802 : 87,108 = 87,108 : x
  2. Step 2: Convert to fraction form
    59,802/87,108 = 87,108/x
  3. Step 3: Cross multiply
    59,802x = 87,108 × 87,108
  4. Step 4: Simplify right side
    59,802x = 7,587,803,664
  5. Step 5: Solve for x
    x = 7,587,803,664/59,802
  6. Step 6: Final answer
    x = 126,882.11

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.