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Finding the Third Proportional to 51,092 and 111,648

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Solution

The third proportional to 51,092 and 111,648 is: 243,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,092 : 111,648 = 111,648 : x
  2. Step 2: Convert to fraction form
    51,092/111,648 = 111,648/x
  3. Step 3: Cross multiply
    51,092x = 111,648 × 111,648
  4. Step 4: Simplify right side
    51,092x = 12,465,275,904
  5. Step 5: Solve for x
    x = 12,465,275,904/51,092
  6. Step 6: Final answer
    x = 243,977.06

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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.