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Finding the Third Proportional to 48,102 and 75,561

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Solution

The third proportional to 48,102 and 75,561 is: 118,694.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,102 : 75,561 = 75,561 : x
  2. Step 2: Convert to fraction form
    48,102/75,561 = 75,561/x
  3. Step 3: Cross multiply
    48,102x = 75,561 × 75,561
  4. Step 4: Simplify right side
    48,102x = 5,709,464,721
  5. Step 5: Solve for x
    x = 5,709,464,721/48,102
  6. Step 6: Final answer
    x = 118,694.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.