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Finding the Third Proportional to 57,471.40 and 125,288.81

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Solution

The third proportional to 57,471.40 and 125,288.81 is: 273,132.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,471.40 : 125,288.81 = 125,288.81 : x
  2. Step 2: Convert to fraction form
    57,471.40/125,288.81 = 125,288.81/x
  3. Step 3: Cross multiply
    57,471.40x = 125,288.81 × 125,288.81
  4. Step 4: Simplify right side
    57,471.40x = 15,697,285,069.43
  5. Step 5: Solve for x
    x = 15,697,285,069.43/57,471.40
  6. Step 6: Final answer
    x = 273,132.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.