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Finding the Third Proportional to 51,444 and 112,736

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Solution

The third proportional to 51,444 and 112,736 is: 247,053.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,444 : 112,736 = 112,736 : x
  2. Step 2: Convert to fraction form
    51,444/112,736 = 112,736/x
  3. Step 3: Cross multiply
    51,444x = 112,736 × 112,736
  4. Step 4: Simplify right side
    51,444x = 12,709,405,696
  5. Step 5: Solve for x
    x = 12,709,405,696/51,444
  6. Step 6: Final answer
    x = 247,053.22

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