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Finding the Third Proportional to 85,231.13 and 130,441.50

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Solution

The third proportional to 85,231.13 and 130,441.50 is: 199,633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,231.13 : 130,441.50 = 130,441.50 : x
  2. Step 2: Convert to fraction form
    85,231.13/130,441.50 = 130,441.50/x
  3. Step 3: Cross multiply
    85,231.13x = 130,441.50 × 130,441.50
  4. Step 4: Simplify right side
    85,231.13x = 17,014,984,922.25
  5. Step 5: Solve for x
    x = 17,014,984,922.25/85,231.13
  6. Step 6: Final answer
    x = 199,633.47

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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.