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Finding the Third Proportional to 103,227.75 and 136,039.50

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Solution

The third proportional to 103,227.75 and 136,039.50 is: 179,280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,227.75 : 136,039.50 = 136,039.50 : x
  2. Step 2: Convert to fraction form
    103,227.75/136,039.50 = 136,039.50/x
  3. Step 3: Cross multiply
    103,227.75x = 136,039.50 × 136,039.50
  4. Step 4: Simplify right side
    103,227.75x = 18,506,745,560.25
  5. Step 5: Solve for x
    x = 18,506,745,560.25/103,227.75
  6. Step 6: Final answer
    x = 179,280.72

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