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Finding the Third Proportional to 39,042 and 85,356

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Solution

The third proportional to 39,042 and 85,356 is: 186,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,042 : 85,356 = 85,356 : x
  2. Step 2: Convert to fraction form
    39,042/85,356 = 85,356/x
  3. Step 3: Cross multiply
    39,042x = 85,356 × 85,356
  4. Step 4: Simplify right side
    39,042x = 7,285,646,736
  5. Step 5: Solve for x
    x = 7,285,646,736/39,042
  6. Step 6: Final answer
    x = 186,610.49

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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.