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Finding the Third Proportional to 51,972 and 125,664

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Solution

The third proportional to 51,972 and 125,664 is: 303,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,972 : 125,664 = 125,664 : x
  2. Step 2: Convert to fraction form
    51,972/125,664 = 125,664/x
  3. Step 3: Cross multiply
    51,972x = 125,664 × 125,664
  4. Step 4: Simplify right side
    51,972x = 15,791,440,896
  5. Step 5: Solve for x
    x = 15,791,440,896/51,972
  6. Step 6: Final answer
    x = 303,845.16

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.