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Finding the Third Proportional to 60,469 and 90,764

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Solution

The third proportional to 60,469 and 90,764 is: 136,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,469 : 90,764 = 90,764 : x
  2. Step 2: Convert to fraction form
    60,469/90,764 = 90,764/x
  3. Step 3: Cross multiply
    60,469x = 90,764 × 90,764
  4. Step 4: Simplify right side
    60,469x = 8,238,103,696
  5. Step 5: Solve for x
    x = 8,238,103,696/60,469
  6. Step 6: Final answer
    x = 136,236.81

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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.