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Finding the Third Proportional to 83,317.75 and 118,741.31

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Solution

The third proportional to 83,317.75 and 118,741.31 is: 169,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,317.75 : 118,741.31 = 118,741.31 : x
  2. Step 2: Convert to fraction form
    83,317.75/118,741.31 = 118,741.31/x
  3. Step 3: Cross multiply
    83,317.75x = 118,741.31 × 118,741.31
  4. Step 4: Simplify right side
    83,317.75x = 14,099,499,294.22
  5. Step 5: Solve for x
    x = 14,099,499,294.22/83,317.75
  6. Step 6: Final answer
    x = 169,225.64

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.