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Finding the Third Proportional to 39,196 and 92,510

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Solution

The third proportional to 39,196 and 92,510 is: 218,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,196 : 92,510 = 92,510 : x
  2. Step 2: Convert to fraction form
    39,196/92,510 = 92,510/x
  3. Step 3: Cross multiply
    39,196x = 92,510 × 92,510
  4. Step 4: Simplify right side
    39,196x = 8,558,100,100
  5. Step 5: Solve for x
    x = 8,558,100,100/39,196
  6. Step 6: Final answer
    x = 218,341.16

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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.