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Finding the Third Proportional to 114,432 and 166,452

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Solution

The third proportional to 114,432 and 166,452 is: 242,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,432 : 166,452 = 166,452 : x
  2. Step 2: Convert to fraction form
    114,432/166,452 = 166,452/x
  3. Step 3: Cross multiply
    114,432x = 166,452 × 166,452
  4. Step 4: Simplify right side
    114,432x = 27,706,268,304
  5. Step 5: Solve for x
    x = 27,706,268,304/114,432
  6. Step 6: Final answer
    x = 242,119.93

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.