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Finding the Third Proportional to 56,742.75 and 82,441.13

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Solution

The third proportional to 56,742.75 and 82,441.13 is: 119,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,742.75 : 82,441.13 = 82,441.13 : x
  2. Step 2: Convert to fraction form
    56,742.75/82,441.13 = 82,441.13/x
  3. Step 3: Cross multiply
    56,742.75x = 82,441.13 × 82,441.13
  4. Step 4: Simplify right side
    56,742.75x = 6,796,539,091.27
  5. Step 5: Solve for x
    x = 6,796,539,091.27/56,742.75
  6. Step 6: Final answer
    x = 119,778.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.