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Finding the Third Proportional to 84,999 and 133,058

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Solution

The third proportional to 84,999 and 133,058 is: 208,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,999 : 133,058 = 133,058 : x
  2. Step 2: Convert to fraction form
    84,999/133,058 = 133,058/x
  3. Step 3: Cross multiply
    84,999x = 133,058 × 133,058
  4. Step 4: Simplify right side
    84,999x = 17,704,431,364
  5. Step 5: Solve for x
    x = 17,704,431,364/84,999
  6. Step 6: Final answer
    x = 208,289.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.