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Finding the Third Proportional to 67,888.50 and 137,598

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Solution

The third proportional to 67,888.50 and 137,598 is: 278,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,888.50 : 137,598 = 137,598 : x
  2. Step 2: Convert to fraction form
    67,888.50/137,598 = 137,598/x
  3. Step 3: Cross multiply
    67,888.50x = 137,598 × 137,598
  4. Step 4: Simplify right side
    67,888.50x = 18,933,209,604
  5. Step 5: Solve for x
    x = 18,933,209,604/67,888.50
  6. Step 6: Final answer
    x = 278,886.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.