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Finding the Third Proportional to 84,559 and 131,113

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Solution

The third proportional to 84,559 and 131,113 is: 203,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,559 : 131,113 = 131,113 : x
  2. Step 2: Convert to fraction form
    84,559/131,113 = 131,113/x
  3. Step 3: Cross multiply
    84,559x = 131,113 × 131,113
  4. Step 4: Simplify right side
    84,559x = 17,190,618,769
  5. Step 5: Solve for x
    x = 17,190,618,769/84,559
  6. Step 6: Final answer
    x = 203,297.33

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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.