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Finding the Third Proportional to 90,106 and 131,083

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Solution

The third proportional to 90,106 and 131,083 is: 190,694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,106 : 131,083 = 131,083 : x
  2. Step 2: Convert to fraction form
    90,106/131,083 = 131,083/x
  3. Step 3: Cross multiply
    90,106x = 131,083 × 131,083
  4. Step 4: Simplify right side
    90,106x = 17,182,752,889
  5. Step 5: Solve for x
    x = 17,182,752,889/90,106
  6. Step 6: Final answer
    x = 190,694.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.