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Finding the Third Proportional to 82,151.63 and 124,764.75

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Solution

The third proportional to 82,151.63 and 124,764.75 is: 189,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,151.63 : 124,764.75 = 124,764.75 : x
  2. Step 2: Convert to fraction form
    82,151.63/124,764.75 = 124,764.75/x
  3. Step 3: Cross multiply
    82,151.63x = 124,764.75 × 124,764.75
  4. Step 4: Simplify right side
    82,151.63x = 15,566,242,842.56
  5. Step 5: Solve for x
    x = 15,566,242,842.56/82,151.63
  6. Step 6: Final answer
    x = 189,481.86

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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.