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Finding the Third Proportional to 52,972 and 116,060

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Solution

The third proportional to 52,972 and 116,060 is: 254,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,972 : 116,060 = 116,060 : x
  2. Step 2: Convert to fraction form
    52,972/116,060 = 116,060/x
  3. Step 3: Cross multiply
    52,972x = 116,060 × 116,060
  4. Step 4: Simplify right side
    52,972x = 13,469,923,600
  5. Step 5: Solve for x
    x = 13,469,923,600/52,972
  6. Step 6: Final answer
    x = 254,283.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.