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Finding the Third Proportional to 67,505 and 156,279.50

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Solution

The third proportional to 67,505 and 156,279.50 is: 361,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,505 : 156,279.50 = 156,279.50 : x
  2. Step 2: Convert to fraction form
    67,505/156,279.50 = 156,279.50/x
  3. Step 3: Cross multiply
    67,505x = 156,279.50 × 156,279.50
  4. Step 4: Simplify right side
    67,505x = 24,423,282,120.25
  5. Step 5: Solve for x
    x = 24,423,282,120.25/67,505
  6. Step 6: Final answer
    x = 361,799.60

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.