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Finding the Third Proportional to 57,478.50 and 125,649

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Solution

The third proportional to 57,478.50 and 125,649 is: 274,670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,478.50 : 125,649 = 125,649 : x
  2. Step 2: Convert to fraction form
    57,478.50/125,649 = 125,649/x
  3. Step 3: Cross multiply
    57,478.50x = 125,649 × 125,649
  4. Step 4: Simplify right side
    57,478.50x = 15,787,671,201
  5. Step 5: Solve for x
    x = 15,787,671,201/57,478.50
  6. Step 6: Final answer
    x = 274,670.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.