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Finding the Third Proportional to 77,854 and 120,797

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Solution

The third proportional to 77,854 and 120,797 is: 187,426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,854 : 120,797 = 120,797 : x
  2. Step 2: Convert to fraction form
    77,854/120,797 = 120,797/x
  3. Step 3: Cross multiply
    77,854x = 120,797 × 120,797
  4. Step 4: Simplify right side
    77,854x = 14,591,915,209
  5. Step 5: Solve for x
    x = 14,591,915,209/77,854
  6. Step 6: Final answer
    x = 187,426.66

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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.