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Finding the Third Proportional to 64,308 and 133,467

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Solution

The third proportional to 64,308 and 133,467 is: 277,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,308 : 133,467 = 133,467 : x
  2. Step 2: Convert to fraction form
    64,308/133,467 = 133,467/x
  3. Step 3: Cross multiply
    64,308x = 133,467 × 133,467
  4. Step 4: Simplify right side
    64,308x = 17,813,440,089
  5. Step 5: Solve for x
    x = 17,813,440,089/64,308
  6. Step 6: Final answer
    x = 277,001.93

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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.