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Finding the Third Proportional to 41,894 and 88,097

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Solution

The third proportional to 41,894 and 88,097 is: 185,255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,894 : 88,097 = 88,097 : x
  2. Step 2: Convert to fraction form
    41,894/88,097 = 88,097/x
  3. Step 3: Cross multiply
    41,894x = 88,097 × 88,097
  4. Step 4: Simplify right side
    41,894x = 7,761,081,409
  5. Step 5: Solve for x
    x = 7,761,081,409/41,894
  6. Step 6: Final answer
    x = 185,255.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.