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Finding the Third Proportional to 96,750 and 227,655

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Solution

The third proportional to 96,750 and 227,655 is: 535,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,750 : 227,655 = 227,655 : x
  2. Step 2: Convert to fraction form
    96,750/227,655 = 227,655/x
  3. Step 3: Cross multiply
    96,750x = 227,655 × 227,655
  4. Step 4: Simplify right side
    96,750x = 51,826,799,025
  5. Step 5: Solve for x
    x = 51,826,799,025/96,750
  6. Step 6: Final answer
    x = 535,677.51

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.