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Finding the Third Proportional to 114,282.75 and 174,324.75

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Solution

The third proportional to 114,282.75 and 174,324.75 is: 265,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,282.75 : 174,324.75 = 174,324.75 : x
  2. Step 2: Convert to fraction form
    114,282.75/174,324.75 = 174,324.75/x
  3. Step 3: Cross multiply
    114,282.75x = 174,324.75 × 174,324.75
  4. Step 4: Simplify right side
    114,282.75x = 30,389,118,462.56
  5. Step 5: Solve for x
    x = 30,389,118,462.56/114,282.75
  6. Step 6: Final answer
    x = 265,911.68

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