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Finding the Third Proportional to 40,461 and 88,296

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Solution

The third proportional to 40,461 and 88,296 is: 192,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,461 : 88,296 = 88,296 : x
  2. Step 2: Convert to fraction form
    40,461/88,296 = 88,296/x
  3. Step 3: Cross multiply
    40,461x = 88,296 × 88,296
  4. Step 4: Simplify right side
    40,461x = 7,796,183,616
  5. Step 5: Solve for x
    x = 7,796,183,616/40,461
  6. Step 6: Final answer
    x = 192,683.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.