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Finding the Third Proportional to 85,176 and 185,266

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Solution

The third proportional to 85,176 and 185,266 is: 402,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,176 : 185,266 = 185,266 : x
  2. Step 2: Convert to fraction form
    85,176/185,266 = 185,266/x
  3. Step 3: Cross multiply
    85,176x = 185,266 × 185,266
  4. Step 4: Simplify right side
    85,176x = 34,323,490,756
  5. Step 5: Solve for x
    x = 34,323,490,756/85,176
  6. Step 6: Final answer
    x = 402,971.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.