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Finding the Third Proportional to 82,808 and 131,214

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Solution

The third proportional to 82,808 and 131,214 is: 207,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,808 : 131,214 = 131,214 : x
  2. Step 2: Convert to fraction form
    82,808/131,214 = 131,214/x
  3. Step 3: Cross multiply
    82,808x = 131,214 × 131,214
  4. Step 4: Simplify right side
    82,808x = 17,217,113,796
  5. Step 5: Solve for x
    x = 17,217,113,796/82,808
  6. Step 6: Final answer
    x = 207,916.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.