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Finding the Third Proportional to 74,444.50 and 161,189

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Solution

The third proportional to 74,444.50 and 161,189 is: 349,010.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,444.50 : 161,189 = 161,189 : x
  2. Step 2: Convert to fraction form
    74,444.50/161,189 = 161,189/x
  3. Step 3: Cross multiply
    74,444.50x = 161,189 × 161,189
  4. Step 4: Simplify right side
    74,444.50x = 25,981,893,721
  5. Step 5: Solve for x
    x = 25,981,893,721/74,444.50
  6. Step 6: Final answer
    x = 349,010.25

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Why These Related Problems?

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