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Finding the Third Proportional to 88,059 and 171,706

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Solution

The third proportional to 88,059 and 171,706 is: 334,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,059 : 171,706 = 171,706 : x
  2. Step 2: Convert to fraction form
    88,059/171,706 = 171,706/x
  3. Step 3: Cross multiply
    88,059x = 171,706 × 171,706
  4. Step 4: Simplify right side
    88,059x = 29,482,950,436
  5. Step 5: Solve for x
    x = 29,482,950,436/88,059
  6. Step 6: Final answer
    x = 334,809.05

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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.