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Finding the Third Proportional to 64,514 and 131,620

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Solution

The third proportional to 64,514 and 131,620 is: 268,528.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,514 : 131,620 = 131,620 : x
  2. Step 2: Convert to fraction form
    64,514/131,620 = 131,620/x
  3. Step 3: Cross multiply
    64,514x = 131,620 × 131,620
  4. Step 4: Simplify right side
    64,514x = 17,323,824,400
  5. Step 5: Solve for x
    x = 17,323,824,400/64,514
  6. Step 6: Final answer
    x = 268,528.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.