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Finding the Third Proportional to 68,346.28 and 92,006.72

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Solution

The third proportional to 68,346.28 and 92,006.72 is: 123,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,346.28 : 92,006.72 = 92,006.72 : x
  2. Step 2: Convert to fraction form
    68,346.28/92,006.72 = 92,006.72/x
  3. Step 3: Cross multiply
    68,346.28x = 92,006.72 × 92,006.72
  4. Step 4: Simplify right side
    68,346.28x = 8,465,236,295.14
  5. Step 5: Solve for x
    x = 8,465,236,295.14/68,346.28
  6. Step 6: Final answer
    x = 123,858.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.