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Finding the Third Proportional to 135,894 and 205,893

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Solution

The third proportional to 135,894 and 205,893 is: 311,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,894 : 205,893 = 205,893 : x
  2. Step 2: Convert to fraction form
    135,894/205,893 = 205,893/x
  3. Step 3: Cross multiply
    135,894x = 205,893 × 205,893
  4. Step 4: Simplify right side
    135,894x = 42,391,927,449
  5. Step 5: Solve for x
    x = 42,391,927,449/135,894
  6. Step 6: Final answer
    x = 311,948.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.