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Finding the Third Proportional to 54,264 and 84,868.50

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Solution

The third proportional to 54,264 and 84,868.50 is: 132,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,264 : 84,868.50 = 84,868.50 : x
  2. Step 2: Convert to fraction form
    54,264/84,868.50 = 84,868.50/x
  3. Step 3: Cross multiply
    54,264x = 84,868.50 × 84,868.50
  4. Step 4: Simplify right side
    54,264x = 7,202,662,292.25
  5. Step 5: Solve for x
    x = 7,202,662,292.25/54,264
  6. Step 6: Final answer
    x = 132,733.71

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.