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Finding the Third Proportional to 88,684 and 137,393

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Solution

The third proportional to 88,684 and 137,393 is: 212,855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,684 : 137,393 = 137,393 : x
  2. Step 2: Convert to fraction form
    88,684/137,393 = 137,393/x
  3. Step 3: Cross multiply
    88,684x = 137,393 × 137,393
  4. Step 4: Simplify right side
    88,684x = 18,876,836,449
  5. Step 5: Solve for x
    x = 18,876,836,449/88,684
  6. Step 6: Final answer
    x = 212,855.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.