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Finding the Third Proportional to 63,614 and 146,546

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Solution

The third proportional to 63,614 and 146,546 is: 337,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,614 : 146,546 = 146,546 : x
  2. Step 2: Convert to fraction form
    63,614/146,546 = 146,546/x
  3. Step 3: Cross multiply
    63,614x = 146,546 × 146,546
  4. Step 4: Simplify right side
    63,614x = 21,475,730,116
  5. Step 5: Solve for x
    x = 21,475,730,116/63,614
  6. Step 6: Final answer
    x = 337,594.40

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.