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Finding the Third Proportional to 81,182 and 121,442

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Solution

The third proportional to 81,182 and 121,442 is: 181,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,182 : 121,442 = 121,442 : x
  2. Step 2: Convert to fraction form
    81,182/121,442 = 121,442/x
  3. Step 3: Cross multiply
    81,182x = 121,442 × 121,442
  4. Step 4: Simplify right side
    81,182x = 14,748,159,364
  5. Step 5: Solve for x
    x = 14,748,159,364/81,182
  6. Step 6: Final answer
    x = 181,667.85

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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.