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Finding the Third Proportional to 51,974 and 110,128

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Solution

The third proportional to 51,974 and 110,128 is: 233,350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,974 : 110,128 = 110,128 : x
  2. Step 2: Convert to fraction form
    51,974/110,128 = 110,128/x
  3. Step 3: Cross multiply
    51,974x = 110,128 × 110,128
  4. Step 4: Simplify right side
    51,974x = 12,128,176,384
  5. Step 5: Solve for x
    x = 12,128,176,384/51,974
  6. Step 6: Final answer
    x = 233,350.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.