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Finding the Third Proportional to 68,023.13 and 89,515.13

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Solution

The third proportional to 68,023.13 and 89,515.13 is: 117,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,023.13 : 89,515.13 = 89,515.13 : x
  2. Step 2: Convert to fraction form
    68,023.13/89,515.13 = 89,515.13/x
  3. Step 3: Cross multiply
    68,023.13x = 89,515.13 × 89,515.13
  4. Step 4: Simplify right side
    68,023.13x = 8,012,957,603.77
  5. Step 5: Solve for x
    x = 8,012,957,603.77/68,023.13
  6. Step 6: Final answer
    x = 117,797.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.