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Finding the Third Proportional to 39,466 and 83,369

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Solution

The third proportional to 39,466 and 83,369 is: 176,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,466 : 83,369 = 83,369 : x
  2. Step 2: Convert to fraction form
    39,466/83,369 = 83,369/x
  3. Step 3: Cross multiply
    39,466x = 83,369 × 83,369
  4. Step 4: Simplify right side
    39,466x = 6,950,390,161
  5. Step 5: Solve for x
    x = 6,950,390,161/39,466
  6. Step 6: Final answer
    x = 176,110.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.