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Finding the Third Proportional to 84,093.19 and 140,150.25

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Solution

The third proportional to 84,093.19 and 140,150.25 is: 233,575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,093.19 : 140,150.25 = 140,150.25 : x
  2. Step 2: Convert to fraction form
    84,093.19/140,150.25 = 140,150.25/x
  3. Step 3: Cross multiply
    84,093.19x = 140,150.25 × 140,150.25
  4. Step 4: Simplify right side
    84,093.19x = 19,642,092,575.06
  5. Step 5: Solve for x
    x = 19,642,092,575.06/84,093.19
  6. Step 6: Final answer
    x = 233,575.31

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.