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Finding the Third Proportional to 39,234 and 92,607

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Solution

The third proportional to 39,234 and 92,607 is: 218,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,234 : 92,607 = 92,607 : x
  2. Step 2: Convert to fraction form
    39,234/92,607 = 92,607/x
  3. Step 3: Cross multiply
    39,234x = 92,607 × 92,607
  4. Step 4: Simplify right side
    39,234x = 8,576,056,449
  5. Step 5: Solve for x
    x = 8,576,056,449/39,234
  6. Step 6: Final answer
    x = 218,587.36

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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.