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Finding the Third Proportional to 77,350 and 123,079

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Solution

The third proportional to 77,350 and 123,079 is: 195,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,350 : 123,079 = 123,079 : x
  2. Step 2: Convert to fraction form
    77,350/123,079 = 123,079/x
  3. Step 3: Cross multiply
    77,350x = 123,079 × 123,079
  4. Step 4: Simplify right side
    77,350x = 15,148,440,241
  5. Step 5: Solve for x
    x = 15,148,440,241/77,350
  6. Step 6: Final answer
    x = 195,842.80

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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.