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Finding the Third Proportional to 84,564 and 133,802

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Solution

The third proportional to 84,564 and 133,802 is: 211,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,564 : 133,802 = 133,802 : x
  2. Step 2: Convert to fraction form
    84,564/133,802 = 133,802/x
  3. Step 3: Cross multiply
    84,564x = 133,802 × 133,802
  4. Step 4: Simplify right side
    84,564x = 17,902,975,204
  5. Step 5: Solve for x
    x = 17,902,975,204/84,564
  6. Step 6: Final answer
    x = 211,709.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.