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Finding the Third Proportional to 80,641.50 and 128,112.50

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Solution

The third proportional to 80,641.50 and 128,112.50 is: 203,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,641.50 : 128,112.50 = 128,112.50 : x
  2. Step 2: Convert to fraction form
    80,641.50/128,112.50 = 128,112.50/x
  3. Step 3: Cross multiply
    80,641.50x = 128,112.50 × 128,112.50
  4. Step 4: Simplify right side
    80,641.50x = 16,412,812,656.25
  5. Step 5: Solve for x
    x = 16,412,812,656.25/80,641.50
  6. Step 6: Final answer
    x = 203,528.12

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.