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Finding the Third Proportional to 39,294 and 85,869

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Solution

The third proportional to 39,294 and 85,869 is: 187,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,294 : 85,869 = 85,869 : x
  2. Step 2: Convert to fraction form
    39,294/85,869 = 85,869/x
  3. Step 3: Cross multiply
    39,294x = 85,869 × 85,869
  4. Step 4: Simplify right side
    39,294x = 7,373,485,161
  5. Step 5: Solve for x
    x = 7,373,485,161/39,294
  6. Step 6: Final answer
    x = 187,649.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.