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Finding the Third Proportional to 114,652.13 and 173,709.56

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Solution

The third proportional to 114,652.13 and 173,709.56 is: 263,187.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,652.13 : 173,709.56 = 173,709.56 : x
  2. Step 2: Convert to fraction form
    114,652.13/173,709.56 = 173,709.56/x
  3. Step 3: Cross multiply
    114,652.13x = 173,709.56 × 173,709.56
  4. Step 4: Simplify right side
    114,652.13x = 30,175,012,103.94
  5. Step 5: Solve for x
    x = 30,175,012,103.94/114,652.13
  6. Step 6: Final answer
    x = 263,187.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.