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Finding the Third Proportional to 41,072 and 88,696

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Solution

The third proportional to 41,072 and 88,696 is: 191,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,072 : 88,696 = 88,696 : x
  2. Step 2: Convert to fraction form
    41,072/88,696 = 88,696/x
  3. Step 3: Cross multiply
    41,072x = 88,696 × 88,696
  4. Step 4: Simplify right side
    41,072x = 7,866,980,416
  5. Step 5: Solve for x
    x = 7,866,980,416/41,072
  6. Step 6: Final answer
    x = 191,541.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.