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Finding the Third Proportional to 59,000.75 and 127,839.50

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Solution

The third proportional to 59,000.75 and 127,839.50 is: 276,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,000.75 : 127,839.50 = 127,839.50 : x
  2. Step 2: Convert to fraction form
    59,000.75/127,839.50 = 127,839.50/x
  3. Step 3: Cross multiply
    59,000.75x = 127,839.50 × 127,839.50
  4. Step 4: Simplify right side
    59,000.75x = 16,342,937,760.25
  5. Step 5: Solve for x
    x = 16,342,937,760.25/59,000.75
  6. Step 6: Final answer
    x = 276,995.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.