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Finding the Third Proportional to 85,716 and 181,800

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Solution

The third proportional to 85,716 and 181,800 is: 385,590.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,716 : 181,800 = 181,800 : x
  2. Step 2: Convert to fraction form
    85,716/181,800 = 181,800/x
  3. Step 3: Cross multiply
    85,716x = 181,800 × 181,800
  4. Step 4: Simplify right side
    85,716x = 33,051,240,000
  5. Step 5: Solve for x
    x = 33,051,240,000/85,716
  6. Step 6: Final answer
    x = 385,590.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.