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Finding the Third Proportional to 59,542.50 and 127,273.50

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Solution

The third proportional to 59,542.50 and 127,273.50 is: 272,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,542.50 : 127,273.50 = 127,273.50 : x
  2. Step 2: Convert to fraction form
    59,542.50/127,273.50 = 127,273.50/x
  3. Step 3: Cross multiply
    59,542.50x = 127,273.50 × 127,273.50
  4. Step 4: Simplify right side
    59,542.50x = 16,198,543,802.25
  5. Step 5: Solve for x
    x = 16,198,543,802.25/59,542.50
  6. Step 6: Final answer
    x = 272,050.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.