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Finding the Third Proportional to 41,574 and 91,898

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Solution

The third proportional to 41,574 and 91,898 is: 203,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,574 : 91,898 = 91,898 : x
  2. Step 2: Convert to fraction form
    41,574/91,898 = 91,898/x
  3. Step 3: Cross multiply
    41,574x = 91,898 × 91,898
  4. Step 4: Simplify right side
    41,574x = 8,445,242,404
  5. Step 5: Solve for x
    x = 8,445,242,404/41,574
  6. Step 6: Final answer
    x = 203,137.60

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.