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Finding the Third Proportional to 85,199 and 175,860

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Solution

The third proportional to 85,199 and 175,860 is: 362,994.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,199 : 175,860 = 175,860 : x
  2. Step 2: Convert to fraction form
    85,199/175,860 = 175,860/x
  3. Step 3: Cross multiply
    85,199x = 175,860 × 175,860
  4. Step 4: Simplify right side
    85,199x = 30,926,739,600
  5. Step 5: Solve for x
    x = 30,926,739,600/85,199
  6. Step 6: Final answer
    x = 362,994.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.