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Finding the Third Proportional to 90,432 and 192,854

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Solution

The third proportional to 90,432 and 192,854 is: 411,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,432 : 192,854 = 192,854 : x
  2. Step 2: Convert to fraction form
    90,432/192,854 = 192,854/x
  3. Step 3: Cross multiply
    90,432x = 192,854 × 192,854
  4. Step 4: Simplify right side
    90,432x = 37,192,665,316
  5. Step 5: Solve for x
    x = 37,192,665,316/90,432
  6. Step 6: Final answer
    x = 411,277.70

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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.