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Finding the Third Proportional to 39,031 and 92,107

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Solution

The third proportional to 39,031 and 92,107 is: 217,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,031 : 92,107 = 92,107 : x
  2. Step 2: Convert to fraction form
    39,031/92,107 = 92,107/x
  3. Step 3: Cross multiply
    39,031x = 92,107 × 92,107
  4. Step 4: Simplify right side
    39,031x = 8,483,699,449
  5. Step 5: Solve for x
    x = 8,483,699,449/39,031
  6. Step 6: Final answer
    x = 217,357.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.