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Finding the Third Proportional to 84,887 and 131,021

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Solution

The third proportional to 84,887 and 131,021 is: 202,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,887 : 131,021 = 131,021 : x
  2. Step 2: Convert to fraction form
    84,887/131,021 = 131,021/x
  3. Step 3: Cross multiply
    84,887x = 131,021 × 131,021
  4. Step 4: Simplify right side
    84,887x = 17,166,502,441
  5. Step 5: Solve for x
    x = 17,166,502,441/84,887
  6. Step 6: Final answer
    x = 202,227.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.