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Finding the Third Proportional to 59,359.50 and 126,441

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Solution

The third proportional to 59,359.50 and 126,441 is: 269,330.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,359.50 : 126,441 = 126,441 : x
  2. Step 2: Convert to fraction form
    59,359.50/126,441 = 126,441/x
  3. Step 3: Cross multiply
    59,359.50x = 126,441 × 126,441
  4. Step 4: Simplify right side
    59,359.50x = 15,987,326,481
  5. Step 5: Solve for x
    x = 15,987,326,481/59,359.50
  6. Step 6: Final answer
    x = 269,330.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.