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Finding the Third Proportional to 75,013.31 and 162,906.19

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Solution

The third proportional to 75,013.31 and 162,906.19 is: 353,782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,013.31 : 162,906.19 = 162,906.19 : x
  2. Step 2: Convert to fraction form
    75,013.31/162,906.19 = 162,906.19/x
  3. Step 3: Cross multiply
    75,013.31x = 162,906.19 × 162,906.19
  4. Step 4: Simplify right side
    75,013.31x = 26,538,425,925.79
  5. Step 5: Solve for x
    x = 26,538,425,925.79/75,013.31
  6. Step 6: Final answer
    x = 353,782.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.