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Finding the Third Proportional to 84,374.16 and 118,667.53

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Solution

The third proportional to 84,374.16 and 118,667.53 is: 166,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,374.16 : 118,667.53 = 118,667.53 : x
  2. Step 2: Convert to fraction form
    84,374.16/118,667.53 = 118,667.53/x
  3. Step 3: Cross multiply
    84,374.16x = 118,667.53 × 118,667.53
  4. Step 4: Simplify right side
    84,374.16x = 14,081,982,972.97
  5. Step 5: Solve for x
    x = 14,081,982,972.97/84,374.16
  6. Step 6: Final answer
    x = 166,899.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.