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Finding the Third Proportional to 67,822.31 and 103,312.97

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Solution

The third proportional to 67,822.31 and 103,312.97 is: 157,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,822.31 : 103,312.97 = 103,312.97 : x
  2. Step 2: Convert to fraction form
    67,822.31/103,312.97 = 103,312.97/x
  3. Step 3: Cross multiply
    67,822.31x = 103,312.97 × 103,312.97
  4. Step 4: Simplify right side
    67,822.31x = 10,673,569,511.94
  5. Step 5: Solve for x
    x = 10,673,569,511.94/67,822.31
  6. Step 6: Final answer
    x = 157,375.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.