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Finding the Third Proportional to 64,496 and 133,000

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Solution

The third proportional to 64,496 and 133,000 is: 274,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,496 : 133,000 = 133,000 : x
  2. Step 2: Convert to fraction form
    64,496/133,000 = 133,000/x
  3. Step 3: Cross multiply
    64,496x = 133,000 × 133,000
  4. Step 4: Simplify right side
    64,496x = 17,689,000,000
  5. Step 5: Solve for x
    x = 17,689,000,000/64,496
  6. Step 6: Final answer
    x = 274,265.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.