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Finding the Third Proportional to 65,766 and 143,831

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Solution

The third proportional to 65,766 and 143,831 is: 314,560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,766 : 143,831 = 143,831 : x
  2. Step 2: Convert to fraction form
    65,766/143,831 = 143,831/x
  3. Step 3: Cross multiply
    65,766x = 143,831 × 143,831
  4. Step 4: Simplify right side
    65,766x = 20,687,356,561
  5. Step 5: Solve for x
    x = 20,687,356,561/65,766
  6. Step 6: Final answer
    x = 314,560.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.