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Finding the Third Proportional to 52,232.25 and 79,572.75

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Solution

The third proportional to 52,232.25 and 79,572.75 is: 121,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,232.25 : 79,572.75 = 79,572.75 : x
  2. Step 2: Convert to fraction form
    52,232.25/79,572.75 = 79,572.75/x
  3. Step 3: Cross multiply
    52,232.25x = 79,572.75 × 79,572.75
  4. Step 4: Simplify right side
    52,232.25x = 6,331,822,542.56
  5. Step 5: Solve for x
    x = 6,331,822,542.56/52,232.25
  6. Step 6: Final answer
    x = 121,224.39

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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.