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Finding the Third Proportional to 62,514 and 130,209

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Solution

The third proportional to 62,514 and 130,209 is: 271,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,514 : 130,209 = 130,209 : x
  2. Step 2: Convert to fraction form
    62,514/130,209 = 130,209/x
  3. Step 3: Cross multiply
    62,514x = 130,209 × 130,209
  4. Step 4: Simplify right side
    62,514x = 16,954,383,681
  5. Step 5: Solve for x
    x = 16,954,383,681/62,514
  6. Step 6: Final answer
    x = 271,209.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.