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Finding the Third Proportional to 48,060 and 71,898

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Solution

The third proportional to 48,060 and 71,898 is: 107,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,060 : 71,898 = 71,898 : x
  2. Step 2: Convert to fraction form
    48,060/71,898 = 71,898/x
  3. Step 3: Cross multiply
    48,060x = 71,898 × 71,898
  4. Step 4: Simplify right side
    48,060x = 5,169,322,404
  5. Step 5: Solve for x
    x = 5,169,322,404/48,060
  6. Step 6: Final answer
    x = 107,559.77

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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.