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Finding the Third Proportional to 76,840 and 118,667

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Solution

The third proportional to 76,840 and 118,667 is: 183,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,840 : 118,667 = 118,667 : x
  2. Step 2: Convert to fraction form
    76,840/118,667 = 118,667/x
  3. Step 3: Cross multiply
    76,840x = 118,667 × 118,667
  4. Step 4: Simplify right side
    76,840x = 14,081,856,889
  5. Step 5: Solve for x
    x = 14,081,856,889/76,840
  6. Step 6: Final answer
    x = 183,262.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.