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Finding the Third Proportional to 99,726 and 149,691

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Solution

The third proportional to 99,726 and 149,691 is: 224,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,726 : 149,691 = 149,691 : x
  2. Step 2: Convert to fraction form
    99,726/149,691 = 149,691/x
  3. Step 3: Cross multiply
    99,726x = 149,691 × 149,691
  4. Step 4: Simplify right side
    99,726x = 22,407,395,481
  5. Step 5: Solve for x
    x = 22,407,395,481/99,726
  6. Step 6: Final answer
    x = 224,689.60

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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.