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Finding the Third Proportional to 41,173 and 88,742

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Solution

The third proportional to 41,173 and 88,742 is: 191,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,173 : 88,742 = 88,742 : x
  2. Step 2: Convert to fraction form
    41,173/88,742 = 88,742/x
  3. Step 3: Cross multiply
    41,173x = 88,742 × 88,742
  4. Step 4: Simplify right side
    41,173x = 7,875,142,564
  5. Step 5: Solve for x
    x = 7,875,142,564/41,173
  6. Step 6: Final answer
    x = 191,269.58

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