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Finding the Third Proportional to 84,441 and 133,707

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Solution

The third proportional to 84,441 and 133,707 is: 211,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,441 : 133,707 = 133,707 : x
  2. Step 2: Convert to fraction form
    84,441/133,707 = 133,707/x
  3. Step 3: Cross multiply
    84,441x = 133,707 × 133,707
  4. Step 4: Simplify right side
    84,441x = 17,877,561,849
  5. Step 5: Solve for x
    x = 17,877,561,849/84,441
  6. Step 6: Final answer
    x = 211,716.61

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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.