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Finding the Third Proportional to 31,669 and 68,359

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Solution

The third proportional to 31,669 and 68,359 is: 147,556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,669 : 68,359 = 68,359 : x
  2. Step 2: Convert to fraction form
    31,669/68,359 = 68,359/x
  3. Step 3: Cross multiply
    31,669x = 68,359 × 68,359
  4. Step 4: Simplify right side
    31,669x = 4,672,952,881
  5. Step 5: Solve for x
    x = 4,672,952,881/31,669
  6. Step 6: Final answer
    x = 147,556.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.