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Finding the Third Proportional to 84,084 and 122,889

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Solution

The third proportional to 84,084 and 122,889 is: 179,602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,084 : 122,889 = 122,889 : x
  2. Step 2: Convert to fraction form
    84,084/122,889 = 122,889/x
  3. Step 3: Cross multiply
    84,084x = 122,889 × 122,889
  4. Step 4: Simplify right side
    84,084x = 15,101,706,321
  5. Step 5: Solve for x
    x = 15,101,706,321/84,084
  6. Step 6: Final answer
    x = 179,602.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.