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Finding the Third Proportional to 63,981.75 and 149,519.25

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Solution

The third proportional to 63,981.75 and 149,519.25 is: 349,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,981.75 : 149,519.25 = 149,519.25 : x
  2. Step 2: Convert to fraction form
    63,981.75/149,519.25 = 149,519.25/x
  3. Step 3: Cross multiply
    63,981.75x = 149,519.25 × 149,519.25
  4. Step 4: Simplify right side
    63,981.75x = 22,356,006,120.56
  5. Step 5: Solve for x
    x = 22,356,006,120.56/63,981.75
  6. Step 6: Final answer
    x = 349,412.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.