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Finding the Third Proportional to 34,634 and 75,172

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Solution

The third proportional to 34,634 and 75,172 is: 163,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,634 : 75,172 = 75,172 : x
  2. Step 2: Convert to fraction form
    34,634/75,172 = 75,172/x
  3. Step 3: Cross multiply
    34,634x = 75,172 × 75,172
  4. Step 4: Simplify right side
    34,634x = 5,650,829,584
  5. Step 5: Solve for x
    x = 5,650,829,584/34,634
  6. Step 6: Final answer
    x = 163,158.44

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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.