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Finding the Third Proportional to 96,674 and 149,395

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Solution

The third proportional to 96,674 and 149,395 is: 230,867.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,674 : 149,395 = 149,395 : x
  2. Step 2: Convert to fraction form
    96,674/149,395 = 149,395/x
  3. Step 3: Cross multiply
    96,674x = 149,395 × 149,395
  4. Step 4: Simplify right side
    96,674x = 22,318,866,025
  5. Step 5: Solve for x
    x = 22,318,866,025/96,674
  6. Step 6: Final answer
    x = 230,867.31

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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.