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Finding the Third Proportional to 41,155 and 61,461

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Solution

The third proportional to 41,155 and 61,461 is: 91,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,155 : 61,461 = 61,461 : x
  2. Step 2: Convert to fraction form
    41,155/61,461 = 61,461/x
  3. Step 3: Cross multiply
    41,155x = 61,461 × 61,461
  4. Step 4: Simplify right side
    41,155x = 3,777,454,521
  5. Step 5: Solve for x
    x = 3,777,454,521/41,155
  6. Step 6: Final answer
    x = 91,786.04

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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.