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Finding the Third Proportional to 79,528 and 123,612

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Solution

The third proportional to 79,528 and 123,612 is: 192,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,528 : 123,612 = 123,612 : x
  2. Step 2: Convert to fraction form
    79,528/123,612 = 123,612/x
  3. Step 3: Cross multiply
    79,528x = 123,612 × 123,612
  4. Step 4: Simplify right side
    79,528x = 15,279,926,544
  5. Step 5: Solve for x
    x = 15,279,926,544/79,528
  6. Step 6: Final answer
    x = 192,132.66

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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.