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Finding the Third Proportional to 84,523.50 and 131,638.50

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Solution

The third proportional to 84,523.50 and 131,638.50 is: 205,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,523.50 : 131,638.50 = 131,638.50 : x
  2. Step 2: Convert to fraction form
    84,523.50/131,638.50 = 131,638.50/x
  3. Step 3: Cross multiply
    84,523.50x = 131,638.50 × 131,638.50
  4. Step 4: Simplify right side
    84,523.50x = 17,328,694,682.25
  5. Step 5: Solve for x
    x = 17,328,694,682.25/84,523.50
  6. Step 6: Final answer
    x = 205,016.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.