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Finding the Third Proportional to 82,584 and 121,932

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Solution

The third proportional to 82,584 and 121,932 is: 180,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,584 : 121,932 = 121,932 : x
  2. Step 2: Convert to fraction form
    82,584/121,932 = 121,932/x
  3. Step 3: Cross multiply
    82,584x = 121,932 × 121,932
  4. Step 4: Simplify right side
    82,584x = 14,867,412,624
  5. Step 5: Solve for x
    x = 14,867,412,624/82,584
  6. Step 6: Final answer
    x = 180,027.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.