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Finding the Third Proportional to 68,808.66 and 106,344.56

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Solution

The third proportional to 68,808.66 and 106,344.56 is: 164,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,808.66 : 106,344.56 = 106,344.56 : x
  2. Step 2: Convert to fraction form
    68,808.66/106,344.56 = 106,344.56/x
  3. Step 3: Cross multiply
    68,808.66x = 106,344.56 × 106,344.56
  4. Step 4: Simplify right side
    68,808.66x = 11,309,165,973.32
  5. Step 5: Solve for x
    x = 11,309,165,973.32/68,808.66
  6. Step 6: Final answer
    x = 164,356.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.