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Finding the Third Proportional to 68,380.88 and 106,724.25

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Solution

The third proportional to 68,380.88 and 106,724.25 is: 166,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,380.88 : 106,724.25 = 106,724.25 : x
  2. Step 2: Convert to fraction form
    68,380.88/106,724.25 = 106,724.25/x
  3. Step 3: Cross multiply
    68,380.88x = 106,724.25 × 106,724.25
  4. Step 4: Simplify right side
    68,380.88x = 11,390,065,538.06
  5. Step 5: Solve for x
    x = 11,390,065,538.06/68,380.88
  6. Step 6: Final answer
    x = 166,568.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.