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Finding the Third Proportional to 67,270.50 and 142,740.56

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Solution

The third proportional to 67,270.50 and 142,740.56 is: 302,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,270.50 : 142,740.56 = 142,740.56 : x
  2. Step 2: Convert to fraction form
    67,270.50/142,740.56 = 142,740.56/x
  3. Step 3: Cross multiply
    67,270.50x = 142,740.56 × 142,740.56
  4. Step 4: Simplify right side
    67,270.50x = 20,374,868,182.82
  5. Step 5: Solve for x
    x = 20,374,868,182.82/67,270.50
  6. Step 6: Final answer
    x = 302,879.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.