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Finding the Third Proportional to 84,298 and 118,599

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Solution

The third proportional to 84,298 and 118,599 is: 166,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,298 : 118,599 = 118,599 : x
  2. Step 2: Convert to fraction form
    84,298/118,599 = 118,599/x
  3. Step 3: Cross multiply
    84,298x = 118,599 × 118,599
  4. Step 4: Simplify right side
    84,298x = 14,065,722,801
  5. Step 5: Solve for x
    x = 14,065,722,801/84,298
  6. Step 6: Final answer
    x = 166,857.14

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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.