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Finding the Third Proportional to 63,666 and 144,909

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Solution

The third proportional to 63,666 and 144,909 is: 329,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,666 : 144,909 = 144,909 : x
  2. Step 2: Convert to fraction form
    63,666/144,909 = 144,909/x
  3. Step 3: Cross multiply
    63,666x = 144,909 × 144,909
  4. Step 4: Simplify right side
    63,666x = 20,998,618,281
  5. Step 5: Solve for x
    x = 20,998,618,281/63,666
  6. Step 6: Final answer
    x = 329,824.68

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.