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Finding the Third Proportional to 132,157 and 212,793

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Solution

The third proportional to 132,157 and 212,793 is: 342,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,157 : 212,793 = 212,793 : x
  2. Step 2: Convert to fraction form
    132,157/212,793 = 212,793/x
  3. Step 3: Cross multiply
    132,157x = 212,793 × 212,793
  4. Step 4: Simplify right side
    132,157x = 45,280,860,849
  5. Step 5: Solve for x
    x = 45,280,860,849/132,157
  6. Step 6: Final answer
    x = 342,629.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.