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Finding the Third Proportional to 41,114 and 61,091

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Solution

The third proportional to 41,114 and 61,091 is: 90,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,114 : 61,091 = 61,091 : x
  2. Step 2: Convert to fraction form
    41,114/61,091 = 61,091/x
  3. Step 3: Cross multiply
    41,114x = 61,091 × 61,091
  4. Step 4: Simplify right side
    41,114x = 3,732,110,281
  5. Step 5: Solve for x
    x = 3,732,110,281/41,114
  6. Step 6: Final answer
    x = 90,774.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.