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Finding the Third Proportional to 103,690 and 158,811

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Solution

The third proportional to 103,690 and 158,811 is: 243,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,690 : 158,811 = 158,811 : x
  2. Step 2: Convert to fraction form
    103,690/158,811 = 158,811/x
  3. Step 3: Cross multiply
    103,690x = 158,811 × 158,811
  4. Step 4: Simplify right side
    103,690x = 25,220,933,721
  5. Step 5: Solve for x
    x = 25,220,933,721/103,690
  6. Step 6: Final answer
    x = 243,234.00

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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.