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Finding the Third Proportional to 68,952.94 and 103,839.47

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Solution

The third proportional to 68,952.94 and 103,839.47 is: 156,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,952.94 : 103,839.47 = 103,839.47 : x
  2. Step 2: Convert to fraction form
    68,952.94/103,839.47 = 103,839.47/x
  3. Step 3: Cross multiply
    68,952.94x = 103,839.47 × 103,839.47
  4. Step 4: Simplify right side
    68,952.94x = 10,782,635,270.28
  5. Step 5: Solve for x
    x = 10,782,635,270.28/68,952.94
  6. Step 6: Final answer
    x = 156,376.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.