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Finding the Third Proportional to 51,785 and 110,944

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Solution

The third proportional to 51,785 and 110,944 is: 237,686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,785 : 110,944 = 110,944 : x
  2. Step 2: Convert to fraction form
    51,785/110,944 = 110,944/x
  3. Step 3: Cross multiply
    51,785x = 110,944 × 110,944
  4. Step 4: Simplify right side
    51,785x = 12,308,571,136
  5. Step 5: Solve for x
    x = 12,308,571,136/51,785
  6. Step 6: Final answer
    x = 237,686.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.