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Finding the Third Proportional to 63,668 and 144,914

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Solution

The third proportional to 63,668 and 144,914 is: 329,837.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,668 : 144,914 = 144,914 : x
  2. Step 2: Convert to fraction form
    63,668/144,914 = 144,914/x
  3. Step 3: Cross multiply
    63,668x = 144,914 × 144,914
  4. Step 4: Simplify right side
    63,668x = 21,000,067,396
  5. Step 5: Solve for x
    x = 21,000,067,396/63,668
  6. Step 6: Final answer
    x = 329,837.08

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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.