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Finding the Third Proportional to 63,670 and 144,919

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Solution

The third proportional to 63,670 and 144,919 is: 329,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,670 : 144,919 = 144,919 : x
  2. Step 2: Convert to fraction form
    63,670/144,919 = 144,919/x
  3. Step 3: Cross multiply
    63,670x = 144,919 × 144,919
  4. Step 4: Simplify right side
    63,670x = 21,001,516,561
  5. Step 5: Solve for x
    x = 21,001,516,561/63,670
  6. Step 6: Final answer
    x = 329,849.48

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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.