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Finding the Third Proportional to 52,101.28 and 80,725.92

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Solution

The third proportional to 52,101.28 and 80,725.92 is: 125,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,101.28 : 80,725.92 = 80,725.92 : x
  2. Step 2: Convert to fraction form
    52,101.28/80,725.92 = 80,725.92/x
  3. Step 3: Cross multiply
    52,101.28x = 80,725.92 × 80,725.92
  4. Step 4: Simplify right side
    52,101.28x = 6,516,674,462.57
  5. Step 5: Solve for x
    x = 6,516,674,462.57/52,101.28
  6. Step 6: Final answer
    x = 125,077.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.