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Finding the Third Proportional to 84,477.38 and 118,104.75

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Solution

The third proportional to 84,477.38 and 118,104.75 is: 165,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,477.38 : 118,104.75 = 118,104.75 : x
  2. Step 2: Convert to fraction form
    84,477.38/118,104.75 = 118,104.75/x
  3. Step 3: Cross multiply
    84,477.38x = 118,104.75 × 118,104.75
  4. Step 4: Simplify right side
    84,477.38x = 13,948,731,972.56
  5. Step 5: Solve for x
    x = 13,948,731,972.56/84,477.38
  6. Step 6: Final answer
    x = 165,117.96

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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.