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Finding the Third Proportional to 51,432 and 111,972

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Solution

The third proportional to 51,432 and 111,972 is: 243,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,432 : 111,972 = 111,972 : x
  2. Step 2: Convert to fraction form
    51,432/111,972 = 111,972/x
  3. Step 3: Cross multiply
    51,432x = 111,972 × 111,972
  4. Step 4: Simplify right side
    51,432x = 12,537,728,784
  5. Step 5: Solve for x
    x = 12,537,728,784/51,432
  6. Step 6: Final answer
    x = 243,772.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.