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Finding the Third Proportional to 57,516 and 125,157

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Solution

The third proportional to 57,516 and 125,157 is: 272,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,516 : 125,157 = 125,157 : x
  2. Step 2: Convert to fraction form
    57,516/125,157 = 125,157/x
  3. Step 3: Cross multiply
    57,516x = 125,157 × 125,157
  4. Step 4: Simplify right side
    57,516x = 15,664,274,649
  5. Step 5: Solve for x
    x = 15,664,274,649/57,516
  6. Step 6: Final answer
    x = 272,346.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.