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Finding the Third Proportional to 67,941 and 112,289.63

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Solution

The third proportional to 67,941 and 112,289.63 is: 185,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,941 : 112,289.63 = 112,289.63 : x
  2. Step 2: Convert to fraction form
    67,941/112,289.63 = 112,289.63/x
  3. Step 3: Cross multiply
    67,941x = 112,289.63 × 112,289.63
  4. Step 4: Simplify right side
    67,941x = 12,608,959,882.64
  5. Step 5: Solve for x
    x = 12,608,959,882.64/67,941
  6. Step 6: Final answer
    x = 185,586.90

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.