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Finding the Third Proportional to 59,762 and 87,915

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Solution

The third proportional to 59,762 and 87,915 is: 129,330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,762 : 87,915 = 87,915 : x
  2. Step 2: Convert to fraction form
    59,762/87,915 = 87,915/x
  3. Step 3: Cross multiply
    59,762x = 87,915 × 87,915
  4. Step 4: Simplify right side
    59,762x = 7,729,047,225
  5. Step 5: Solve for x
    x = 7,729,047,225/59,762
  6. Step 6: Final answer
    x = 129,330.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.