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Finding the Third Proportional to 35,615 and 75,253

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Solution

The third proportional to 35,615 and 75,253 is: 159,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,615 : 75,253 = 75,253 : x
  2. Step 2: Convert to fraction form
    35,615/75,253 = 75,253/x
  3. Step 3: Cross multiply
    35,615x = 75,253 × 75,253
  4. Step 4: Simplify right side
    35,615x = 5,663,014,009
  5. Step 5: Solve for x
    x = 5,663,014,009/35,615
  6. Step 6: Final answer
    x = 159,006.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.