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Finding the Third Proportional to 52,087 and 73,751

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Solution

The third proportional to 52,087 and 73,751 is: 104,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,087 : 73,751 = 73,751 : x
  2. Step 2: Convert to fraction form
    52,087/73,751 = 73,751/x
  3. Step 3: Cross multiply
    52,087x = 73,751 × 73,751
  4. Step 4: Simplify right side
    52,087x = 5,439,210,001
  5. Step 5: Solve for x
    x = 5,439,210,001/52,087
  6. Step 6: Final answer
    x = 104,425.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.