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Finding the Third Proportional to 127,959 and 269,250

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Solution

The third proportional to 127,959 and 269,250 is: 566,553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,959 : 269,250 = 269,250 : x
  2. Step 2: Convert to fraction form
    127,959/269,250 = 269,250/x
  3. Step 3: Cross multiply
    127,959x = 269,250 × 269,250
  4. Step 4: Simplify right side
    127,959x = 72,495,562,500
  5. Step 5: Solve for x
    x = 72,495,562,500/127,959
  6. Step 6: Final answer
    x = 566,553.06

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.