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Finding the Third Proportional to 88,124 and 186,296

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Solution

The third proportional to 88,124 and 186,296 is: 393,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,124 : 186,296 = 186,296 : x
  2. Step 2: Convert to fraction form
    88,124/186,296 = 186,296/x
  3. Step 3: Cross multiply
    88,124x = 186,296 × 186,296
  4. Step 4: Simplify right side
    88,124x = 34,706,199,616
  5. Step 5: Solve for x
    x = 34,706,199,616/88,124
  6. Step 6: Final answer
    x = 393,833.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.