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Finding the Third Proportional to 101,676 and 158,001

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Solution

The third proportional to 101,676 and 158,001 is: 245,528.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,676 : 158,001 = 158,001 : x
  2. Step 2: Convert to fraction form
    101,676/158,001 = 158,001/x
  3. Step 3: Cross multiply
    101,676x = 158,001 × 158,001
  4. Step 4: Simplify right side
    101,676x = 24,964,316,001
  5. Step 5: Solve for x
    x = 24,964,316,001/101,676
  6. Step 6: Final answer
    x = 245,528.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.