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Finding the Third Proportional to 77,594 and 123,975

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Solution

The third proportional to 77,594 and 123,975 is: 198,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,594 : 123,975 = 123,975 : x
  2. Step 2: Convert to fraction form
    77,594/123,975 = 123,975/x
  3. Step 3: Cross multiply
    77,594x = 123,975 × 123,975
  4. Step 4: Simplify right side
    77,594x = 15,369,800,625
  5. Step 5: Solve for x
    x = 15,369,800,625/77,594
  6. Step 6: Final answer
    x = 198,079.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.