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Finding the Third Proportional to 41,078 and 88,714

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Solution

The third proportional to 41,078 and 88,714 is: 191,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,078 : 88,714 = 88,714 : x
  2. Step 2: Convert to fraction form
    41,078/88,714 = 88,714/x
  3. Step 3: Cross multiply
    41,078x = 88,714 × 88,714
  4. Step 4: Simplify right side
    41,078x = 7,870,173,796
  5. Step 5: Solve for x
    x = 7,870,173,796/41,078
  6. Step 6: Final answer
    x = 191,590.97

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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.