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Finding the Third Proportional to 84,558 and 131,111

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Solution

The third proportional to 84,558 and 131,111 is: 203,293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,558 : 131,111 = 131,111 : x
  2. Step 2: Convert to fraction form
    84,558/131,111 = 131,111/x
  3. Step 3: Cross multiply
    84,558x = 131,111 × 131,111
  4. Step 4: Simplify right side
    84,558x = 17,190,094,321
  5. Step 5: Solve for x
    x = 17,190,094,321/84,558
  6. Step 6: Final answer
    x = 203,293.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.