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Finding the Third Proportional to 85,828.50 and 131,295.75

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Solution

The third proportional to 85,828.50 and 131,295.75 is: 200,849.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,828.50 : 131,295.75 = 131,295.75 : x
  2. Step 2: Convert to fraction form
    85,828.50/131,295.75 = 131,295.75/x
  3. Step 3: Cross multiply
    85,828.50x = 131,295.75 × 131,295.75
  4. Step 4: Simplify right side
    85,828.50x = 17,238,573,968.06
  5. Step 5: Solve for x
    x = 17,238,573,968.06/85,828.50
  6. Step 6: Final answer
    x = 200,849.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.