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Finding the Third Proportional to 127,599.75 and 275,132.25

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Solution

The third proportional to 127,599.75 and 275,132.25 is: 593,243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,599.75 : 275,132.25 = 275,132.25 : x
  2. Step 2: Convert to fraction form
    127,599.75/275,132.25 = 275,132.25/x
  3. Step 3: Cross multiply
    127,599.75x = 275,132.25 × 275,132.25
  4. Step 4: Simplify right side
    127,599.75x = 75,697,754,990.06
  5. Step 5: Solve for x
    x = 75,697,754,990.06/127,599.75
  6. Step 6: Final answer
    x = 593,243.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.