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Finding the Third Proportional to 39,100 and 92,210

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Solution

The third proportional to 39,100 and 92,210 is: 217,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,100 : 92,210 = 92,210 : x
  2. Step 2: Convert to fraction form
    39,100/92,210 = 92,210/x
  3. Step 3: Cross multiply
    39,100x = 92,210 × 92,210
  4. Step 4: Simplify right side
    39,100x = 8,502,684,100
  5. Step 5: Solve for x
    x = 8,502,684,100/39,100
  6. Step 6: Final answer
    x = 217,459.95

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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.