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Finding the Third Proportional to 132,714 and 205,514

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Solution

The third proportional to 132,714 and 205,514 is: 318,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,714 : 205,514 = 205,514 : x
  2. Step 2: Convert to fraction form
    132,714/205,514 = 205,514/x
  3. Step 3: Cross multiply
    132,714x = 205,514 × 205,514
  4. Step 4: Simplify right side
    132,714x = 42,236,004,196
  5. Step 5: Solve for x
    x = 42,236,004,196/132,714
  6. Step 6: Final answer
    x = 318,248.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.