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Finding the Third Proportional to 130,682.25 and 192,195.56

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Solution

The third proportional to 130,682.25 and 192,195.56 is: 282,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,682.25 : 192,195.56 = 192,195.56 : x
  2. Step 2: Convert to fraction form
    130,682.25/192,195.56 = 192,195.56/x
  3. Step 3: Cross multiply
    130,682.25x = 192,195.56 × 192,195.56
  4. Step 4: Simplify right side
    130,682.25x = 36,939,134,244.69
  5. Step 5: Solve for x
    x = 36,939,134,244.69/130,682.25
  6. Step 6: Final answer
    x = 282,663.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.