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Finding the Third Proportional to 91,024 and 192,432

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Solution

The third proportional to 91,024 and 192,432 is: 406,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,024 : 192,432 = 192,432 : x
  2. Step 2: Convert to fraction form
    91,024/192,432 = 192,432/x
  3. Step 3: Cross multiply
    91,024x = 192,432 × 192,432
  4. Step 4: Simplify right side
    91,024x = 37,030,074,624
  5. Step 5: Solve for x
    x = 37,030,074,624/91,024
  6. Step 6: Final answer
    x = 406,816.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.