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Finding the Third Proportional to 114,224 and 175,692

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Solution

The third proportional to 114,224 and 175,692 is: 270,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,224 : 175,692 = 175,692 : x
  2. Step 2: Convert to fraction form
    114,224/175,692 = 175,692/x
  3. Step 3: Cross multiply
    114,224x = 175,692 × 175,692
  4. Step 4: Simplify right side
    114,224x = 30,867,678,864
  5. Step 5: Solve for x
    x = 30,867,678,864/114,224
  6. Step 6: Final answer
    x = 270,238.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.