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Finding the Third Proportional to 103,669 and 158,780

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Solution

The third proportional to 103,669 and 158,780 is: 243,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,669 : 158,780 = 158,780 : x
  2. Step 2: Convert to fraction form
    103,669/158,780 = 158,780/x
  3. Step 3: Cross multiply
    103,669x = 158,780 × 158,780
  4. Step 4: Simplify right side
    103,669x = 25,211,088,400
  5. Step 5: Solve for x
    x = 25,211,088,400/103,669
  6. Step 6: Final answer
    x = 243,188.31

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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.