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Finding the Third Proportional to 39,514 and 93,277

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Solution

The third proportional to 39,514 and 93,277 is: 220,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,514 : 93,277 = 93,277 : x
  2. Step 2: Convert to fraction form
    39,514/93,277 = 93,277/x
  3. Step 3: Cross multiply
    39,514x = 93,277 × 93,277
  4. Step 4: Simplify right side
    39,514x = 8,700,598,729
  5. Step 5: Solve for x
    x = 8,700,598,729/39,514
  6. Step 6: Final answer
    x = 220,190.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.