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Finding the Third Proportional to 99,626 and 152,331

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Solution

The third proportional to 99,626 and 152,331 is: 232,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,626 : 152,331 = 152,331 : x
  2. Step 2: Convert to fraction form
    99,626/152,331 = 152,331/x
  3. Step 3: Cross multiply
    99,626x = 152,331 × 152,331
  4. Step 4: Simplify right side
    99,626x = 23,204,733,561
  5. Step 5: Solve for x
    x = 23,204,733,561/99,626
  6. Step 6: Final answer
    x = 232,918.45

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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.