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Finding the Third Proportional to 67,950 and 99,924

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Solution

The third proportional to 67,950 and 99,924 is: 146,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,950 : 99,924 = 99,924 : x
  2. Step 2: Convert to fraction form
    67,950/99,924 = 99,924/x
  3. Step 3: Cross multiply
    67,950x = 99,924 × 99,924
  4. Step 4: Simplify right side
    67,950x = 9,984,805,776
  5. Step 5: Solve for x
    x = 9,984,805,776/67,950
  6. Step 6: Final answer
    x = 146,943.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.