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Finding the Third Proportional to 73,295 and 161,902

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Solution

The third proportional to 73,295 and 161,902 is: 357,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,295 : 161,902 = 161,902 : x
  2. Step 2: Convert to fraction form
    73,295/161,902 = 161,902/x
  3. Step 3: Cross multiply
    73,295x = 161,902 × 161,902
  4. Step 4: Simplify right side
    73,295x = 26,212,257,604
  5. Step 5: Solve for x
    x = 26,212,257,604/73,295
  6. Step 6: Final answer
    x = 357,626.82

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.