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Finding the Third Proportional to 63,918 and 149,292

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Solution

The third proportional to 63,918 and 149,292 is: 348,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,918 : 149,292 = 149,292 : x
  2. Step 2: Convert to fraction form
    63,918/149,292 = 149,292/x
  3. Step 3: Cross multiply
    63,918x = 149,292 × 149,292
  4. Step 4: Simplify right side
    63,918x = 22,288,101,264
  5. Step 5: Solve for x
    x = 22,288,101,264/63,918
  6. Step 6: Final answer
    x = 348,698.35

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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.