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Finding the Third Proportional to 84,244 and 187,169

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Solution

The third proportional to 84,244 and 187,169 is: 415,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,244 : 187,169 = 187,169 : x
  2. Step 2: Convert to fraction form
    84,244/187,169 = 187,169/x
  3. Step 3: Cross multiply
    84,244x = 187,169 × 187,169
  4. Step 4: Simplify right side
    84,244x = 35,032,234,561
  5. Step 5: Solve for x
    x = 35,032,234,561/84,244
  6. Step 6: Final answer
    x = 415,842.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.