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Finding the Third Proportional to 85,178 and 181,282

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Solution

The third proportional to 85,178 and 181,282 is: 385,817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,178 : 181,282 = 181,282 : x
  2. Step 2: Convert to fraction form
    85,178/181,282 = 181,282/x
  3. Step 3: Cross multiply
    85,178x = 181,282 × 181,282
  4. Step 4: Simplify right side
    85,178x = 32,863,163,524
  5. Step 5: Solve for x
    x = 32,863,163,524/85,178
  6. Step 6: Final answer
    x = 385,817.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.