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Finding the Third Proportional to 99,632 and 149,822

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Solution

The third proportional to 99,632 and 149,822 is: 225,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,632 : 149,822 = 149,822 : x
  2. Step 2: Convert to fraction form
    99,632/149,822 = 149,822/x
  3. Step 3: Cross multiply
    99,632x = 149,822 × 149,822
  4. Step 4: Simplify right side
    99,632x = 22,446,631,684
  5. Step 5: Solve for x
    x = 22,446,631,684/99,632
  6. Step 6: Final answer
    x = 225,295.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.