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Finding the Third Proportional to 99,234 and 148,872

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Solution

The third proportional to 99,234 and 148,872 is: 223,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,234 : 148,872 = 148,872 : x
  2. Step 2: Convert to fraction form
    99,234/148,872 = 148,872/x
  3. Step 3: Cross multiply
    99,234x = 148,872 × 148,872
  4. Step 4: Simplify right side
    99,234x = 22,162,872,384
  5. Step 5: Solve for x
    x = 22,162,872,384/99,234
  6. Step 6: Final answer
    x = 223,339.50

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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.