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Finding the Third Proportional to 68,104.55 and 134,462.53

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Solution

The third proportional to 68,104.55 and 134,462.53 is: 265,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,104.55 : 134,462.53 = 134,462.53 : x
  2. Step 2: Convert to fraction form
    68,104.55/134,462.53 = 134,462.53/x
  3. Step 3: Cross multiply
    68,104.55x = 134,462.53 × 134,462.53
  4. Step 4: Simplify right side
    68,104.55x = 18,080,172,310.16
  5. Step 5: Solve for x
    x = 18,080,172,310.16/68,104.55
  6. Step 6: Final answer
    x = 265,476.73

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.