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Finding the Third Proportional to 73,984 and 161,810

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Solution

The third proportional to 73,984 and 161,810 is: 353,893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,984 : 161,810 = 161,810 : x
  2. Step 2: Convert to fraction form
    73,984/161,810 = 161,810/x
  3. Step 3: Cross multiply
    73,984x = 161,810 × 161,810
  4. Step 4: Simplify right side
    73,984x = 26,182,476,100
  5. Step 5: Solve for x
    x = 26,182,476,100/73,984
  6. Step 6: Final answer
    x = 353,893.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.