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Finding the Third Proportional to 84,698 and 133,983

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Solution

The third proportional to 84,698 and 133,983 is: 211,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,698 : 133,983 = 133,983 : x
  2. Step 2: Convert to fraction form
    84,698/133,983 = 133,983/x
  3. Step 3: Cross multiply
    84,698x = 133,983 × 133,983
  4. Step 4: Simplify right side
    84,698x = 17,951,444,289
  5. Step 5: Solve for x
    x = 17,951,444,289/84,698
  6. Step 6: Final answer
    x = 211,946.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.