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Finding the Third Proportional to 45,238.50 and 75,201.75

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Solution

The third proportional to 45,238.50 and 75,201.75 is: 125,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,238.50 : 75,201.75 = 75,201.75 : x
  2. Step 2: Convert to fraction form
    45,238.50/75,201.75 = 75,201.75/x
  3. Step 3: Cross multiply
    45,238.50x = 75,201.75 × 75,201.75
  4. Step 4: Simplify right side
    45,238.50x = 5,655,303,203.06
  5. Step 5: Solve for x
    x = 5,655,303,203.06/45,238.50
  6. Step 6: Final answer
    x = 125,010.85

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.