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Finding the Third Proportional to 83,444 and 122,022

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Solution

The third proportional to 83,444 and 122,022 is: 178,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,444 : 122,022 = 122,022 : x
  2. Step 2: Convert to fraction form
    83,444/122,022 = 122,022/x
  3. Step 3: Cross multiply
    83,444x = 122,022 × 122,022
  4. Step 4: Simplify right side
    83,444x = 14,889,368,484
  5. Step 5: Solve for x
    x = 14,889,368,484/83,444
  6. Step 6: Final answer
    x = 178,435.46

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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.