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Finding the Third Proportional to 59,764 and 87,918

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Solution

The third proportional to 59,764 and 87,918 is: 129,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,764 : 87,918 = 87,918 : x
  2. Step 2: Convert to fraction form
    59,764/87,918 = 87,918/x
  3. Step 3: Cross multiply
    59,764x = 87,918 × 87,918
  4. Step 4: Simplify right side
    59,764x = 7,729,574,724
  5. Step 5: Solve for x
    x = 7,729,574,724/59,764
  6. Step 6: Final answer
    x = 129,334.96

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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.