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Finding the Third Proportional to 39,514 and 93,275

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Solution

The third proportional to 39,514 and 93,275 is: 220,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,514 : 93,275 = 93,275 : x
  2. Step 2: Convert to fraction form
    39,514/93,275 = 93,275/x
  3. Step 3: Cross multiply
    39,514x = 93,275 × 93,275
  4. Step 4: Simplify right side
    39,514x = 8,700,225,625
  5. Step 5: Solve for x
    x = 8,700,225,625/39,514
  6. Step 6: Final answer
    x = 220,180.84

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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.