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Finding the Third Proportional to 84,446 and 133,711

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Solution

The third proportional to 84,446 and 133,711 is: 211,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,446 : 133,711 = 133,711 : x
  2. Step 2: Convert to fraction form
    84,446/133,711 = 133,711/x
  3. Step 3: Cross multiply
    84,446x = 133,711 × 133,711
  4. Step 4: Simplify right side
    84,446x = 17,878,631,521
  5. Step 5: Solve for x
    x = 17,878,631,521/84,446
  6. Step 6: Final answer
    x = 211,716.74

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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.