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Finding the Third Proportional to 48,130 and 77,542

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Solution

The third proportional to 48,130 and 77,542 is: 124,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,130 : 77,542 = 77,542 : x
  2. Step 2: Convert to fraction form
    48,130/77,542 = 77,542/x
  3. Step 3: Cross multiply
    48,130x = 77,542 × 77,542
  4. Step 4: Simplify right side
    48,130x = 6,012,761,764
  5. Step 5: Solve for x
    x = 6,012,761,764/48,130
  6. Step 6: Final answer
    x = 124,927.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.