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Finding the Third Proportional to 59,281.50 and 127,270.50

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Solution

The third proportional to 59,281.50 and 127,270.50 is: 273,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,281.50 : 127,270.50 = 127,270.50 : x
  2. Step 2: Convert to fraction form
    59,281.50/127,270.50 = 127,270.50/x
  3. Step 3: Cross multiply
    59,281.50x = 127,270.50 × 127,270.50
  4. Step 4: Simplify right side
    59,281.50x = 16,197,780,170.25
  5. Step 5: Solve for x
    x = 16,197,780,170.25/59,281.50
  6. Step 6: Final answer
    x = 273,234.99

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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.