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Finding the Third Proportional to 84,475.44 and 118,101.84

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Solution

The third proportional to 84,475.44 and 118,101.84 is: 165,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,475.44 : 118,101.84 = 118,101.84 : x
  2. Step 2: Convert to fraction form
    84,475.44/118,101.84 = 118,101.84/x
  3. Step 3: Cross multiply
    84,475.44x = 118,101.84 × 118,101.84
  4. Step 4: Simplify right side
    84,475.44x = 13,948,045,497.15
  5. Step 5: Solve for x
    x = 13,948,045,497.15/84,475.44
  6. Step 6: Final answer
    x = 165,113.62

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.