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Finding the Third Proportional to 68,902.13 and 103,353.56

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Solution

The third proportional to 68,902.13 and 103,353.56 is: 155,030.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,902.13 : 103,353.56 = 103,353.56 : x
  2. Step 2: Convert to fraction form
    68,902.13/103,353.56 = 103,353.56/x
  3. Step 3: Cross multiply
    68,902.13x = 103,353.56 × 103,353.56
  4. Step 4: Simplify right side
    68,902.13x = 10,681,958,881.44
  5. Step 5: Solve for x
    x = 10,681,958,881.44/68,902.13
  6. Step 6: Final answer
    x = 155,030.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.