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Finding the Third Proportional to 127,972 and 275,566.25

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Solution

The third proportional to 127,972 and 275,566.25 is: 593,385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,972 : 275,566.25 = 275,566.25 : x
  2. Step 2: Convert to fraction form
    127,972/275,566.25 = 275,566.25/x
  3. Step 3: Cross multiply
    127,972x = 275,566.25 × 275,566.25
  4. Step 4: Simplify right side
    127,972x = 75,936,758,139.06
  5. Step 5: Solve for x
    x = 75,936,758,139.06/127,972
  6. Step 6: Final answer
    x = 593,385.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.