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Finding the Third Proportional to 73,846 and 161,988

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Solution

The third proportional to 73,846 and 161,988 is: 355,335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,846 : 161,988 = 161,988 : x
  2. Step 2: Convert to fraction form
    73,846/161,988 = 161,988/x
  3. Step 3: Cross multiply
    73,846x = 161,988 × 161,988
  4. Step 4: Simplify right side
    73,846x = 26,240,112,144
  5. Step 5: Solve for x
    x = 26,240,112,144/73,846
  6. Step 6: Final answer
    x = 355,335.59

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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.