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Finding the Third Proportional to 54,360.50 and 83,161.50

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Solution

The third proportional to 54,360.50 and 83,161.50 is: 127,221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,360.50 : 83,161.50 = 83,161.50 : x
  2. Step 2: Convert to fraction form
    54,360.50/83,161.50 = 83,161.50/x
  3. Step 3: Cross multiply
    54,360.50x = 83,161.50 × 83,161.50
  4. Step 4: Simplify right side
    54,360.50x = 6,915,835,082.25
  5. Step 5: Solve for x
    x = 6,915,835,082.25/54,360.50
  6. Step 6: Final answer
    x = 127,221.70

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.