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Finding the Third Proportional to 85,712.06 and 130,743.56

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Solution

The third proportional to 85,712.06 and 130,743.56 is: 199,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,712.06 : 130,743.56 = 130,743.56 : x
  2. Step 2: Convert to fraction form
    85,712.06/130,743.56 = 130,743.56/x
  3. Step 3: Cross multiply
    85,712.06x = 130,743.56 × 130,743.56
  4. Step 4: Simplify right side
    85,712.06x = 17,093,879,135.19
  5. Step 5: Solve for x
    x = 17,093,879,135.19/85,712.06
  6. Step 6: Final answer
    x = 199,433.76

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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.