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Finding the Third Proportional to 57,891 and 83,812.50

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Solution

The third proportional to 57,891 and 83,812.50 is: 121,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,891 : 83,812.50 = 83,812.50 : x
  2. Step 2: Convert to fraction form
    57,891/83,812.50 = 83,812.50/x
  3. Step 3: Cross multiply
    57,891x = 83,812.50 × 83,812.50
  4. Step 4: Simplify right side
    57,891x = 7,024,535,156.25
  5. Step 5: Solve for x
    x = 7,024,535,156.25/57,891
  6. Step 6: Final answer
    x = 121,340.71

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.