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Finding the Third Proportional to 39,206 and 92,537

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Solution

The third proportional to 39,206 and 92,537 is: 218,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,206 : 92,537 = 92,537 : x
  2. Step 2: Convert to fraction form
    39,206/92,537 = 92,537/x
  3. Step 3: Cross multiply
    39,206x = 92,537 × 92,537
  4. Step 4: Simplify right side
    39,206x = 8,563,096,369
  5. Step 5: Solve for x
    x = 8,563,096,369/39,206
  6. Step 6: Final answer
    x = 218,412.91

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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.