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Finding the Third Proportional to 50,107 and 77,651

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Solution

The third proportional to 50,107 and 77,651 is: 120,336.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,107 : 77,651 = 77,651 : x
  2. Step 2: Convert to fraction form
    50,107/77,651 = 77,651/x
  3. Step 3: Cross multiply
    50,107x = 77,651 × 77,651
  4. Step 4: Simplify right side
    50,107x = 6,029,677,801
  5. Step 5: Solve for x
    x = 6,029,677,801/50,107
  6. Step 6: Final answer
    x = 120,336.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.