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Finding the Third Proportional to 82,218 and 122,996.75

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Solution

The third proportional to 82,218 and 122,996.75 is: 184,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,218 : 122,996.75 = 122,996.75 : x
  2. Step 2: Convert to fraction form
    82,218/122,996.75 = 122,996.75/x
  3. Step 3: Cross multiply
    82,218x = 122,996.75 × 122,996.75
  4. Step 4: Simplify right side
    82,218x = 15,128,200,510.56
  5. Step 5: Solve for x
    x = 15,128,200,510.56/82,218
  6. Step 6: Final answer
    x = 184,001.08

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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.