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Finding the Third Proportional to 94,344 and 139,356

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Solution

The third proportional to 94,344 and 139,356 is: 205,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,344 : 139,356 = 139,356 : x
  2. Step 2: Convert to fraction form
    94,344/139,356 = 139,356/x
  3. Step 3: Cross multiply
    94,344x = 139,356 × 139,356
  4. Step 4: Simplify right side
    94,344x = 19,420,094,736
  5. Step 5: Solve for x
    x = 19,420,094,736/94,344
  6. Step 6: Final answer
    x = 205,843.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.