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Finding the Third Proportional to 51,944 and 112,060

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Solution

The third proportional to 51,944 and 112,060 is: 241,749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,944 : 112,060 = 112,060 : x
  2. Step 2: Convert to fraction form
    51,944/112,060 = 112,060/x
  3. Step 3: Cross multiply
    51,944x = 112,060 × 112,060
  4. Step 4: Simplify right side
    51,944x = 12,557,443,600
  5. Step 5: Solve for x
    x = 12,557,443,600/51,944
  6. Step 6: Final answer
    x = 241,749.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.