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Finding the Third Proportional to 48,518 and 77,151

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Solution

The third proportional to 48,518 and 77,151 is: 122,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,518 : 77,151 = 77,151 : x
  2. Step 2: Convert to fraction form
    48,518/77,151 = 77,151/x
  3. Step 3: Cross multiply
    48,518x = 77,151 × 77,151
  4. Step 4: Simplify right side
    48,518x = 5,952,276,801
  5. Step 5: Solve for x
    x = 5,952,276,801/48,518
  6. Step 6: Final answer
    x = 122,681.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.