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Finding the Third Proportional to 84,515.06 and 131,617.41

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Solution

The third proportional to 84,515.06 and 131,617.41 is: 204,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,515.06 : 131,617.41 = 131,617.41 : x
  2. Step 2: Convert to fraction form
    84,515.06/131,617.41 = 131,617.41/x
  3. Step 3: Cross multiply
    84,515.06x = 131,617.41 × 131,617.41
  4. Step 4: Simplify right side
    84,515.06x = 17,323,141,627.98
  5. Step 5: Solve for x
    x = 17,323,141,627.98/84,515.06
  6. Step 6: Final answer
    x = 204,971.06

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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.