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Finding the Third Proportional to 52,467.75 and 82,311.19

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Solution

The third proportional to 52,467.75 and 82,311.19 is: 129,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,467.75 : 82,311.19 = 82,311.19 : x
  2. Step 2: Convert to fraction form
    52,467.75/82,311.19 = 82,311.19/x
  3. Step 3: Cross multiply
    52,467.75x = 82,311.19 × 82,311.19
  4. Step 4: Simplify right side
    52,467.75x = 6,775,131,587.66
  5. Step 5: Solve for x
    x = 6,775,131,587.66/52,467.75
  6. Step 6: Final answer
    x = 129,129.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.