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Finding the Third Proportional to 39,510 and 93,267

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Solution

The third proportional to 39,510 and 93,267 is: 220,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,510 : 93,267 = 93,267 : x
  2. Step 2: Convert to fraction form
    39,510/93,267 = 93,267/x
  3. Step 3: Cross multiply
    39,510x = 93,267 × 93,267
  4. Step 4: Simplify right side
    39,510x = 8,698,733,289
  5. Step 5: Solve for x
    x = 8,698,733,289/39,510
  6. Step 6: Final answer
    x = 220,165.36

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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.