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Finding the Third Proportional to 64,508 and 133,902

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Solution

The third proportional to 64,508 and 133,902 is: 277,946.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,508 : 133,902 = 133,902 : x
  2. Step 2: Convert to fraction form
    64,508/133,902 = 133,902/x
  3. Step 3: Cross multiply
    64,508x = 133,902 × 133,902
  4. Step 4: Simplify right side
    64,508x = 17,929,745,604
  5. Step 5: Solve for x
    x = 17,929,745,604/64,508
  6. Step 6: Final answer
    x = 277,946.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.