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Finding the Third Proportional to 51,074 and 110,348

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Solution

The third proportional to 51,074 and 110,348 is: 238,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,074 : 110,348 = 110,348 : x
  2. Step 2: Convert to fraction form
    51,074/110,348 = 110,348/x
  3. Step 3: Cross multiply
    51,074x = 110,348 × 110,348
  4. Step 4: Simplify right side
    51,074x = 12,176,681,104
  5. Step 5: Solve for x
    x = 12,176,681,104/51,074
  6. Step 6: Final answer
    x = 238,412.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.