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Finding the Third Proportional to 57,483 and 125,657

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Solution

The third proportional to 57,483 and 125,657 is: 274,684.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,483 : 125,657 = 125,657 : x
  2. Step 2: Convert to fraction form
    57,483/125,657 = 125,657/x
  3. Step 3: Cross multiply
    57,483x = 125,657 × 125,657
  4. Step 4: Simplify right side
    57,483x = 15,789,681,649
  5. Step 5: Solve for x
    x = 15,789,681,649/57,483
  6. Step 6: Final answer
    x = 274,684.37

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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.