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Finding the Third Proportional to 40,775.50 and 88,535

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Solution

The third proportional to 40,775.50 and 88,535 is: 192,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,775.50 : 88,535 = 88,535 : x
  2. Step 2: Convert to fraction form
    40,775.50/88,535 = 88,535/x
  3. Step 3: Cross multiply
    40,775.50x = 88,535 × 88,535
  4. Step 4: Simplify right side
    40,775.50x = 7,838,446,225
  5. Step 5: Solve for x
    x = 7,838,446,225/40,775.50
  6. Step 6: Final answer
    x = 192,234.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.