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Finding the Third Proportional to 73,013.25 and 161,877

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Solution

The third proportional to 73,013.25 and 161,877 is: 358,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,013.25 : 161,877 = 161,877 : x
  2. Step 2: Convert to fraction form
    73,013.25/161,877 = 161,877/x
  3. Step 3: Cross multiply
    73,013.25x = 161,877 × 161,877
  4. Step 4: Simplify right side
    73,013.25x = 26,204,163,129
  5. Step 5: Solve for x
    x = 26,204,163,129/73,013.25
  6. Step 6: Final answer
    x = 358,896.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.