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Finding the Third Proportional to 68,077.13 and 103,960.13

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Solution

The third proportional to 68,077.13 and 103,960.13 is: 158,756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,077.13 : 103,960.13 = 103,960.13 : x
  2. Step 2: Convert to fraction form
    68,077.13/103,960.13 = 103,960.13/x
  3. Step 3: Cross multiply
    68,077.13x = 103,960.13 × 103,960.13
  4. Step 4: Simplify right side
    68,077.13x = 10,807,707,590.02
  5. Step 5: Solve for x
    x = 10,807,707,590.02/68,077.13
  6. Step 6: Final answer
    x = 158,756.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.