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Finding the Third Proportional to 100,474 and 147,687

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Solution

The third proportional to 100,474 and 147,687 is: 217,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,474 : 147,687 = 147,687 : x
  2. Step 2: Convert to fraction form
    100,474/147,687 = 147,687/x
  3. Step 3: Cross multiply
    100,474x = 147,687 × 147,687
  4. Step 4: Simplify right side
    100,474x = 21,811,449,969
  5. Step 5: Solve for x
    x = 21,811,449,969/100,474
  6. Step 6: Final answer
    x = 217,085.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.