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Finding the Third Proportional to 51,383 and 111,501

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Solution

The third proportional to 51,383 and 111,501 is: 241,956.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,383 : 111,501 = 111,501 : x
  2. Step 2: Convert to fraction form
    51,383/111,501 = 111,501/x
  3. Step 3: Cross multiply
    51,383x = 111,501 × 111,501
  4. Step 4: Simplify right side
    51,383x = 12,432,473,001
  5. Step 5: Solve for x
    x = 12,432,473,001/51,383
  6. Step 6: Final answer
    x = 241,956.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.