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Finding the Third Proportional to 74,742.75 and 124,571.25

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Solution

The third proportional to 74,742.75 and 124,571.25 is: 207,618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,742.75 : 124,571.25 = 124,571.25 : x
  2. Step 2: Convert to fraction form
    74,742.75/124,571.25 = 124,571.25/x
  3. Step 3: Cross multiply
    74,742.75x = 124,571.25 × 124,571.25
  4. Step 4: Simplify right side
    74,742.75x = 15,517,996,326.56
  5. Step 5: Solve for x
    x = 15,517,996,326.56/74,742.75
  6. Step 6: Final answer
    x = 207,618.75

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.