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Finding the Third Proportional to 40,206 and 93,486

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Solution

The third proportional to 40,206 and 93,486 is: 217,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,206 : 93,486 = 93,486 : x
  2. Step 2: Convert to fraction form
    40,206/93,486 = 93,486/x
  3. Step 3: Cross multiply
    40,206x = 93,486 × 93,486
  4. Step 4: Simplify right side
    40,206x = 8,739,632,196
  5. Step 5: Solve for x
    x = 8,739,632,196/40,206
  6. Step 6: Final answer
    x = 217,371.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.