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Finding the Third Proportional to 127,955.25 and 275,350.50

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Solution

The third proportional to 127,955.25 and 275,350.50 is: 592,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,955.25 : 275,350.50 = 275,350.50 : x
  2. Step 2: Convert to fraction form
    127,955.25/275,350.50 = 275,350.50/x
  3. Step 3: Cross multiply
    127,955.25x = 275,350.50 × 275,350.50
  4. Step 4: Simplify right side
    127,955.25x = 75,817,897,850.25
  5. Step 5: Solve for x
    x = 75,817,897,850.25/127,955.25
  6. Step 6: Final answer
    x = 592,534.48

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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.