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Finding the Third Proportional to 73,900 and 158,300

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Solution

The third proportional to 73,900 and 158,300 is: 339,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,900 : 158,300 = 158,300 : x
  2. Step 2: Convert to fraction form
    73,900/158,300 = 158,300/x
  3. Step 3: Cross multiply
    73,900x = 158,300 × 158,300
  4. Step 4: Simplify right side
    73,900x = 25,058,890,000
  5. Step 5: Solve for x
    x = 25,058,890,000/73,900
  6. Step 6: Final answer
    x = 339,091.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.