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Finding the Third Proportional to 99,250 and 148,893

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Solution

The third proportional to 99,250 and 148,893 is: 223,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,250 : 148,893 = 148,893 : x
  2. Step 2: Convert to fraction form
    99,250/148,893 = 148,893/x
  3. Step 3: Cross multiply
    99,250x = 148,893 × 148,893
  4. Step 4: Simplify right side
    99,250x = 22,169,125,449
  5. Step 5: Solve for x
    x = 22,169,125,449/99,250
  6. Step 6: Final answer
    x = 223,366.50

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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.