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Finding the Third Proportional to 81,735 and 122,685

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Solution

The third proportional to 81,735 and 122,685 is: 184,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,735 : 122,685 = 122,685 : x
  2. Step 2: Convert to fraction form
    81,735/122,685 = 122,685/x
  3. Step 3: Cross multiply
    81,735x = 122,685 × 122,685
  4. Step 4: Simplify right side
    81,735x = 15,051,609,225
  5. Step 5: Solve for x
    x = 15,051,609,225/81,735
  6. Step 6: Final answer
    x = 184,151.33

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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.