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Finding the Third Proportional to 42,351 and 89,399.50

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Solution

The third proportional to 42,351 and 89,399.50 is: 188,715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,351 : 89,399.50 = 89,399.50 : x
  2. Step 2: Convert to fraction form
    42,351/89,399.50 = 89,399.50/x
  3. Step 3: Cross multiply
    42,351x = 89,399.50 × 89,399.50
  4. Step 4: Simplify right side
    42,351x = 7,992,270,600.25
  5. Step 5: Solve for x
    x = 7,992,270,600.25/42,351
  6. Step 6: Final answer
    x = 188,715.04

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.