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Finding the Third Proportional to 81,667 and 122,501

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Solution

The third proportional to 81,667 and 122,501 is: 183,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,667 : 122,501 = 122,501 : x
  2. Step 2: Convert to fraction form
    81,667/122,501 = 122,501/x
  3. Step 3: Cross multiply
    81,667x = 122,501 × 122,501
  4. Step 4: Simplify right side
    81,667x = 15,006,495,001
  5. Step 5: Solve for x
    x = 15,006,495,001/81,667
  6. Step 6: Final answer
    x = 183,752.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.