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Finding the Third Proportional to 74,238.56 and 161,877

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Solution

The third proportional to 74,238.56 and 161,877 is: 352,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,238.56 : 161,877 = 161,877 : x
  2. Step 2: Convert to fraction form
    74,238.56/161,877 = 161,877/x
  3. Step 3: Cross multiply
    74,238.56x = 161,877 × 161,877
  4. Step 4: Simplify right side
    74,238.56x = 26,204,163,129
  5. Step 5: Solve for x
    x = 26,204,163,129/74,238.56
  6. Step 6: Final answer
    x = 352,972.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.