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Finding the Third Proportional to 43,019 and 92,264

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Solution

The third proportional to 43,019 and 92,264 is: 197,881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,019 : 92,264 = 92,264 : x
  2. Step 2: Convert to fraction form
    43,019/92,264 = 92,264/x
  3. Step 3: Cross multiply
    43,019x = 92,264 × 92,264
  4. Step 4: Simplify right side
    43,019x = 8,512,645,696
  5. Step 5: Solve for x
    x = 8,512,645,696/43,019
  6. Step 6: Final answer
    x = 197,881.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.