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Finding the Third Proportional to 51,444 and 112,200

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Solution

The third proportional to 51,444 and 112,200 is: 244,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,444 : 112,200 = 112,200 : x
  2. Step 2: Convert to fraction form
    51,444/112,200 = 112,200/x
  3. Step 3: Cross multiply
    51,444x = 112,200 × 112,200
  4. Step 4: Simplify right side
    51,444x = 12,588,840,000
  5. Step 5: Solve for x
    x = 12,588,840,000/51,444
  6. Step 6: Final answer
    x = 244,709.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.