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Finding the Third Proportional to 51,240 and 108,560

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Solution

The third proportional to 51,240 and 108,560 is: 230,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,240 : 108,560 = 108,560 : x
  2. Step 2: Convert to fraction form
    51,240/108,560 = 108,560/x
  3. Step 3: Cross multiply
    51,240x = 108,560 × 108,560
  4. Step 4: Simplify right side
    51,240x = 11,785,273,600
  5. Step 5: Solve for x
    x = 11,785,273,600/51,240
  6. Step 6: Final answer
    x = 230,001.44

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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.