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Finding the Third Proportional to 90,468 and 192,959

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Solution

The third proportional to 90,468 and 192,959 is: 411,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,468 : 192,959 = 192,959 : x
  2. Step 2: Convert to fraction form
    90,468/192,959 = 192,959/x
  3. Step 3: Cross multiply
    90,468x = 192,959 × 192,959
  4. Step 4: Simplify right side
    90,468x = 37,233,175,681
  5. Step 5: Solve for x
    x = 37,233,175,681/90,468
  6. Step 6: Final answer
    x = 411,561.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.