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Finding the Third Proportional to 76,489.31 and 107,523.56

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Solution

The third proportional to 76,489.31 and 107,523.56 is: 151,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,489.31 : 107,523.56 = 107,523.56 : x
  2. Step 2: Convert to fraction form
    76,489.31/107,523.56 = 107,523.56/x
  3. Step 3: Cross multiply
    76,489.31x = 107,523.56 × 107,523.56
  4. Step 4: Simplify right side
    76,489.31x = 11,561,316,492.69
  5. Step 5: Solve for x
    x = 11,561,316,492.69/76,489.31
  6. Step 6: Final answer
    x = 151,149.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.