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Finding the Third Proportional to 88,065 and 171,718

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Solution

The third proportional to 88,065 and 171,718 is: 334,833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,065 : 171,718 = 171,718 : x
  2. Step 2: Convert to fraction form
    88,065/171,718 = 171,718/x
  3. Step 3: Cross multiply
    88,065x = 171,718 × 171,718
  4. Step 4: Simplify right side
    88,065x = 29,487,071,524
  5. Step 5: Solve for x
    x = 29,487,071,524/88,065
  6. Step 6: Final answer
    x = 334,833.04

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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.