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Finding the Third Proportional to 67,822.31 and 107,476.88

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Solution

The third proportional to 67,822.31 and 107,476.88 is: 170,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,822.31 : 107,476.88 = 107,476.88 : x
  2. Step 2: Convert to fraction form
    67,822.31/107,476.88 = 107,476.88/x
  3. Step 3: Cross multiply
    67,822.31x = 107,476.88 × 107,476.88
  4. Step 4: Simplify right side
    67,822.31x = 11,551,278,659.77
  5. Step 5: Solve for x
    x = 11,551,278,659.77/67,822.31
  6. Step 6: Final answer
    x = 170,316.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.