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Finding the Third Proportional to 74,867 and 161,725

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Solution

The third proportional to 74,867 and 161,725 is: 349,352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,867 : 161,725 = 161,725 : x
  2. Step 2: Convert to fraction form
    74,867/161,725 = 161,725/x
  3. Step 3: Cross multiply
    74,867x = 161,725 × 161,725
  4. Step 4: Simplify right side
    74,867x = 26,154,975,625
  5. Step 5: Solve for x
    x = 26,154,975,625/74,867
  6. Step 6: Final answer
    x = 349,352.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.