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Finding the Third Proportional to 97,118 and 131,214

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Solution

The third proportional to 97,118 and 131,214 is: 177,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,118 : 131,214 = 131,214 : x
  2. Step 2: Convert to fraction form
    97,118/131,214 = 131,214/x
  3. Step 3: Cross multiply
    97,118x = 131,214 × 131,214
  4. Step 4: Simplify right side
    97,118x = 17,217,113,796
  5. Step 5: Solve for x
    x = 17,217,113,796/97,118
  6. Step 6: Final answer
    x = 177,280.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.