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Finding the Third Proportional to 81,174 and 121,431

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Solution

The third proportional to 81,174 and 121,431 is: 181,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,174 : 121,431 = 121,431 : x
  2. Step 2: Convert to fraction form
    81,174/121,431 = 121,431/x
  3. Step 3: Cross multiply
    81,174x = 121,431 × 121,431
  4. Step 4: Simplify right side
    81,174x = 14,745,487,761
  5. Step 5: Solve for x
    x = 14,745,487,761/81,174
  6. Step 6: Final answer
    x = 181,652.84

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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.