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Finding the Third Proportional to 103,676 and 158,791

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Solution

The third proportional to 103,676 and 158,791 is: 243,205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,676 : 158,791 = 158,791 : x
  2. Step 2: Convert to fraction form
    103,676/158,791 = 158,791/x
  3. Step 3: Cross multiply
    103,676x = 158,791 × 158,791
  4. Step 4: Simplify right side
    103,676x = 25,214,581,681
  5. Step 5: Solve for x
    x = 25,214,581,681/103,676
  6. Step 6: Final answer
    x = 243,205.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.