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Finding the Third Proportional to 83,400 and 122,893

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Solution

The third proportional to 83,400 and 122,893 is: 181,087.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,400 : 122,893 = 122,893 : x
  2. Step 2: Convert to fraction form
    83,400/122,893 = 122,893/x
  3. Step 3: Cross multiply
    83,400x = 122,893 × 122,893
  4. Step 4: Simplify right side
    83,400x = 15,102,689,449
  5. Step 5: Solve for x
    x = 15,102,689,449/83,400
  6. Step 6: Final answer
    x = 181,087.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.