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Finding the Third Proportional to 51,814 and 110,737

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Solution

The third proportional to 51,814 and 110,737 is: 236,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,814 : 110,737 = 110,737 : x
  2. Step 2: Convert to fraction form
    51,814/110,737 = 110,737/x
  3. Step 3: Cross multiply
    51,814x = 110,737 × 110,737
  4. Step 4: Simplify right side
    51,814x = 12,262,683,169
  5. Step 5: Solve for x
    x = 12,262,683,169/51,814
  6. Step 6: Final answer
    x = 236,667.37

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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.