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Finding the Third Proportional to 51,768 and 110,320

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Solution

The third proportional to 51,768 and 110,320 is: 235,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,768 : 110,320 = 110,320 : x
  2. Step 2: Convert to fraction form
    51,768/110,320 = 110,320/x
  3. Step 3: Cross multiply
    51,768x = 110,320 × 110,320
  4. Step 4: Simplify right side
    51,768x = 12,170,502,400
  5. Step 5: Solve for x
    x = 12,170,502,400/51,768
  6. Step 6: Final answer
    x = 235,097.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.