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Finding the Third Proportional to 84,778 and 131,063

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Solution

The third proportional to 84,778 and 131,063 is: 202,617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,778 : 131,063 = 131,063 : x
  2. Step 2: Convert to fraction form
    84,778/131,063 = 131,063/x
  3. Step 3: Cross multiply
    84,778x = 131,063 × 131,063
  4. Step 4: Simplify right side
    84,778x = 17,177,509,969
  5. Step 5: Solve for x
    x = 17,177,509,969/84,778
  6. Step 6: Final answer
    x = 202,617.54

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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.