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Finding the Third Proportional to 41,656 and 90,706

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Solution

The third proportional to 41,656 and 90,706 is: 197,512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,656 : 90,706 = 90,706 : x
  2. Step 2: Convert to fraction form
    41,656/90,706 = 90,706/x
  3. Step 3: Cross multiply
    41,656x = 90,706 × 90,706
  4. Step 4: Simplify right side
    41,656x = 8,227,578,436
  5. Step 5: Solve for x
    x = 8,227,578,436/41,656
  6. Step 6: Final answer
    x = 197,512.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.