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Finding the Third Proportional to 77,750 and 123,775

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Solution

The third proportional to 77,750 and 123,775 is: 197,045.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,750 : 123,775 = 123,775 : x
  2. Step 2: Convert to fraction form
    77,750/123,775 = 123,775/x
  3. Step 3: Cross multiply
    77,750x = 123,775 × 123,775
  4. Step 4: Simplify right side
    77,750x = 15,320,250,625
  5. Step 5: Solve for x
    x = 15,320,250,625/77,750
  6. Step 6: Final answer
    x = 197,045.02

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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.