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Finding the Third Proportional to 88,038 and 171,666

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Solution

The third proportional to 88,038 and 171,666 is: 334,732.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,038 : 171,666 = 171,666 : x
  2. Step 2: Convert to fraction form
    88,038/171,666 = 171,666/x
  3. Step 3: Cross multiply
    88,038x = 171,666 × 171,666
  4. Step 4: Simplify right side
    88,038x = 29,469,215,556
  5. Step 5: Solve for x
    x = 29,469,215,556/88,038
  6. Step 6: Final answer
    x = 334,732.91

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.