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Finding the Third Proportional to 85,836 and 187,800

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Solution

The third proportional to 85,836 and 187,800 is: 410,886.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,836 : 187,800 = 187,800 : x
  2. Step 2: Convert to fraction form
    85,836/187,800 = 187,800/x
  3. Step 3: Cross multiply
    85,836x = 187,800 × 187,800
  4. Step 4: Simplify right side
    85,836x = 35,268,840,000
  5. Step 5: Solve for x
    x = 35,268,840,000/85,836
  6. Step 6: Final answer
    x = 410,886.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.