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Finding the Third Proportional to 100,446 and 147,645

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Solution

The third proportional to 100,446 and 147,645 is: 217,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,446 : 147,645 = 147,645 : x
  2. Step 2: Convert to fraction form
    100,446/147,645 = 147,645/x
  3. Step 3: Cross multiply
    100,446x = 147,645 × 147,645
  4. Step 4: Simplify right side
    100,446x = 21,799,046,025
  5. Step 5: Solve for x
    x = 21,799,046,025/100,446
  6. Step 6: Final answer
    x = 217,022.54

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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.