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Finding the Third Proportional to 51,810 and 110,972

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Solution

The third proportional to 51,810 and 110,972 is: 237,691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,810 : 110,972 = 110,972 : x
  2. Step 2: Convert to fraction form
    51,810/110,972 = 110,972/x
  3. Step 3: Cross multiply
    51,810x = 110,972 × 110,972
  4. Step 4: Simplify right side
    51,810x = 12,314,784,784
  5. Step 5: Solve for x
    x = 12,314,784,784/51,810
  6. Step 6: Final answer
    x = 237,691.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.