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Finding the Third Proportional to 81,205.03 and 124,977.94

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Solution

The third proportional to 81,205.03 and 124,977.94 is: 192,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,205.03 : 124,977.94 = 124,977.94 : x
  2. Step 2: Convert to fraction form
    81,205.03/124,977.94 = 124,977.94/x
  3. Step 3: Cross multiply
    81,205.03x = 124,977.94 × 124,977.94
  4. Step 4: Simplify right side
    81,205.03x = 15,619,484,861.75
  5. Step 5: Solve for x
    x = 15,619,484,861.75/81,205.03
  6. Step 6: Final answer
    x = 192,346.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.