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Finding the Third Proportional to 39,181 and 83,354

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Solution

The third proportional to 39,181 and 83,354 is: 177,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,181 : 83,354 = 83,354 : x
  2. Step 2: Convert to fraction form
    39,181/83,354 = 83,354/x
  3. Step 3: Cross multiply
    39,181x = 83,354 × 83,354
  4. Step 4: Simplify right side
    39,181x = 6,947,889,316
  5. Step 5: Solve for x
    x = 6,947,889,316/39,181
  6. Step 6: Final answer
    x = 177,328.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.