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Finding the Third Proportional to 84,811 and 182,501

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Solution

The third proportional to 84,811 and 182,501 is: 392,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,811 : 182,501 = 182,501 : x
  2. Step 2: Convert to fraction form
    84,811/182,501 = 182,501/x
  3. Step 3: Cross multiply
    84,811x = 182,501 × 182,501
  4. Step 4: Simplify right side
    84,811x = 33,306,615,001
  5. Step 5: Solve for x
    x = 33,306,615,001/84,811
  6. Step 6: Final answer
    x = 392,715.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.