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Finding the Third Proportional to 73,852.50 and 161,241

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Solution

The third proportional to 73,852.50 and 161,241 is: 352,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,852.50 : 161,241 = 161,241 : x
  2. Step 2: Convert to fraction form
    73,852.50/161,241 = 161,241/x
  3. Step 3: Cross multiply
    73,852.50x = 161,241 × 161,241
  4. Step 4: Simplify right side
    73,852.50x = 25,998,660,081
  5. Step 5: Solve for x
    x = 25,998,660,081/73,852.50
  6. Step 6: Final answer
    x = 352,034.94

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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.