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Finding the Third Proportional to 71,242 and 156,780

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Solution

The third proportional to 71,242 and 156,780 is: 345,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,242 : 156,780 = 156,780 : x
  2. Step 2: Convert to fraction form
    71,242/156,780 = 156,780/x
  3. Step 3: Cross multiply
    71,242x = 156,780 × 156,780
  4. Step 4: Simplify right side
    71,242x = 24,579,968,400
  5. Step 5: Solve for x
    x = 24,579,968,400/71,242
  6. Step 6: Final answer
    x = 345,020.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.