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Finding the Third Proportional to 81,035.44 and 122,671.13

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Solution

The third proportional to 81,035.44 and 122,671.13 is: 185,699.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,035.44 : 122,671.13 = 122,671.13 : x
  2. Step 2: Convert to fraction form
    81,035.44/122,671.13 = 122,671.13/x
  3. Step 3: Cross multiply
    81,035.44x = 122,671.13 × 122,671.13
  4. Step 4: Simplify right side
    81,035.44x = 15,048,204,908.77
  5. Step 5: Solve for x
    x = 15,048,204,908.77/81,035.44
  6. Step 6: Final answer
    x = 185,699.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.