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Finding the Third Proportional to 73,570 and 161,721

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Solution

The third proportional to 73,570 and 161,721 is: 355,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,570 : 161,721 = 161,721 : x
  2. Step 2: Convert to fraction form
    73,570/161,721 = 161,721/x
  3. Step 3: Cross multiply
    73,570x = 161,721 × 161,721
  4. Step 4: Simplify right side
    73,570x = 26,153,681,841
  5. Step 5: Solve for x
    x = 26,153,681,841/73,570
  6. Step 6: Final answer
    x = 355,493.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.