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Finding the Third Proportional to 34,655 and 75,137

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Solution

The third proportional to 34,655 and 75,137 is: 162,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,655 : 75,137 = 75,137 : x
  2. Step 2: Convert to fraction form
    34,655/75,137 = 75,137/x
  3. Step 3: Cross multiply
    34,655x = 75,137 × 75,137
  4. Step 4: Simplify right side
    34,655x = 5,645,568,769
  5. Step 5: Solve for x
    x = 5,645,568,769/34,655
  6. Step 6: Final answer
    x = 162,907.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.