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Finding the Third Proportional to 57,656 and 125,154

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Solution

The third proportional to 57,656 and 125,154 is: 271,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,656 : 125,154 = 125,154 : x
  2. Step 2: Convert to fraction form
    57,656/125,154 = 125,154/x
  3. Step 3: Cross multiply
    57,656x = 125,154 × 125,154
  4. Step 4: Simplify right side
    57,656x = 15,663,523,716
  5. Step 5: Solve for x
    x = 15,663,523,716/57,656
  6. Step 6: Final answer
    x = 271,672.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.