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Finding the Third Proportional to 99,614 and 152,448

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Solution

The third proportional to 99,614 and 152,448 is: 233,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,614 : 152,448 = 152,448 : x
  2. Step 2: Convert to fraction form
    99,614/152,448 = 152,448/x
  3. Step 3: Cross multiply
    99,614x = 152,448 × 152,448
  4. Step 4: Simplify right side
    99,614x = 23,240,392,704
  5. Step 5: Solve for x
    x = 23,240,392,704/99,614
  6. Step 6: Final answer
    x = 233,304.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.