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Finding the Third Proportional to 57,076.25 and 90,899.75

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Solution

The third proportional to 57,076.25 and 90,899.75 is: 144,767.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,076.25 : 90,899.75 = 90,899.75 : x
  2. Step 2: Convert to fraction form
    57,076.25/90,899.75 = 90,899.75/x
  3. Step 3: Cross multiply
    57,076.25x = 90,899.75 × 90,899.75
  4. Step 4: Simplify right side
    57,076.25x = 8,262,764,550.06
  5. Step 5: Solve for x
    x = 8,262,764,550.06/57,076.25
  6. Step 6: Final answer
    x = 144,767.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.