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Finding the Third Proportional to 85,181.63 and 127,772.44

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Solution

The third proportional to 85,181.63 and 127,772.44 is: 191,658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,181.63 : 127,772.44 = 127,772.44 : x
  2. Step 2: Convert to fraction form
    85,181.63/127,772.44 = 127,772.44/x
  3. Step 3: Cross multiply
    85,181.63x = 127,772.44 × 127,772.44
  4. Step 4: Simplify right side
    85,181.63x = 16,325,795,784.69
  5. Step 5: Solve for x
    x = 16,325,795,784.69/85,181.63
  6. Step 6: Final answer
    x = 191,658.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.