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Finding the Third Proportional to 63,849.50 and 137,441

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Solution

The third proportional to 63,849.50 and 137,441 is: 295,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,849.50 : 137,441 = 137,441 : x
  2. Step 2: Convert to fraction form
    63,849.50/137,441 = 137,441/x
  3. Step 3: Cross multiply
    63,849.50x = 137,441 × 137,441
  4. Step 4: Simplify right side
    63,849.50x = 18,890,028,481
  5. Step 5: Solve for x
    x = 18,890,028,481/63,849.50
  6. Step 6: Final answer
    x = 295,852.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.