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Finding the Third Proportional to 73,857 and 161,538

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Solution

The third proportional to 73,857 and 161,538 is: 353,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,857 : 161,538 = 161,538 : x
  2. Step 2: Convert to fraction form
    73,857/161,538 = 161,538/x
  3. Step 3: Cross multiply
    73,857x = 161,538 × 161,538
  4. Step 4: Simplify right side
    73,857x = 26,094,525,444
  5. Step 5: Solve for x
    x = 26,094,525,444/73,857
  6. Step 6: Final answer
    x = 353,311.47

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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.