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Finding the Third Proportional to 51,240 and 110,672

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Solution

The third proportional to 51,240 and 110,672 is: 239,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,240 : 110,672 = 110,672 : x
  2. Step 2: Convert to fraction form
    51,240/110,672 = 110,672/x
  3. Step 3: Cross multiply
    51,240x = 110,672 × 110,672
  4. Step 4: Simplify right side
    51,240x = 12,248,291,584
  5. Step 5: Solve for x
    x = 12,248,291,584/51,240
  6. Step 6: Final answer
    x = 239,037.70

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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.