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Finding the Third Proportional to 85,944 and 188,835

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Solution

The third proportional to 85,944 and 188,835 is: 414,905.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,944 : 188,835 = 188,835 : x
  2. Step 2: Convert to fraction form
    85,944/188,835 = 188,835/x
  3. Step 3: Cross multiply
    85,944x = 188,835 × 188,835
  4. Step 4: Simplify right side
    85,944x = 35,658,657,225
  5. Step 5: Solve for x
    x = 35,658,657,225/85,944
  6. Step 6: Final answer
    x = 414,905.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.