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Finding the Third Proportional to 96,743 and 149,487

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Solution

The third proportional to 96,743 and 149,487 is: 230,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,743 : 149,487 = 149,487 : x
  2. Step 2: Convert to fraction form
    96,743/149,487 = 149,487/x
  3. Step 3: Cross multiply
    96,743x = 149,487 × 149,487
  4. Step 4: Simplify right side
    96,743x = 22,346,363,169
  5. Step 5: Solve for x
    x = 22,346,363,169/96,743
  6. Step 6: Final answer
    x = 230,986.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.