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Finding the Third Proportional to 57,055.50 and 83,470.50

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Solution

The third proportional to 57,055.50 and 83,470.50 is: 122,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,055.50 : 83,470.50 = 83,470.50 : x
  2. Step 2: Convert to fraction form
    57,055.50/83,470.50 = 83,470.50/x
  3. Step 3: Cross multiply
    57,055.50x = 83,470.50 × 83,470.50
  4. Step 4: Simplify right side
    57,055.50x = 6,967,324,370.25
  5. Step 5: Solve for x
    x = 6,967,324,370.25/57,055.50
  6. Step 6: Final answer
    x = 122,114.86

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.