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Finding the Third Proportional to 59,352.75 and 121,122

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Solution

The third proportional to 59,352.75 and 121,122 is: 247,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,352.75 : 121,122 = 121,122 : x
  2. Step 2: Convert to fraction form
    59,352.75/121,122 = 121,122/x
  3. Step 3: Cross multiply
    59,352.75x = 121,122 × 121,122
  4. Step 4: Simplify right side
    59,352.75x = 14,670,538,884
  5. Step 5: Solve for x
    x = 14,670,538,884/59,352.75
  6. Step 6: Final answer
    x = 247,175.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.