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Finding the Third Proportional to 64,311 and 133,473

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Solution

The third proportional to 64,311 and 133,473 is: 277,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,311 : 133,473 = 133,473 : x
  2. Step 2: Convert to fraction form
    64,311/133,473 = 133,473/x
  3. Step 3: Cross multiply
    64,311x = 133,473 × 133,473
  4. Step 4: Simplify right side
    64,311x = 17,815,041,729
  5. Step 5: Solve for x
    x = 17,815,041,729/64,311
  6. Step 6: Final answer
    x = 277,013.91

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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.