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Finding the Third Proportional to 84,596 and 122,895

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Solution

The third proportional to 84,596 and 122,895 is: 178,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,596 : 122,895 = 122,895 : x
  2. Step 2: Convert to fraction form
    84,596/122,895 = 122,895/x
  3. Step 3: Cross multiply
    84,596x = 122,895 × 122,895
  4. Step 4: Simplify right side
    84,596x = 15,103,181,025
  5. Step 5: Solve for x
    x = 15,103,181,025/84,596
  6. Step 6: Final answer
    x = 178,533.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.