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Finding the Third Proportional to 39,072 and 84,368

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Solution

The third proportional to 39,072 and 84,368 is: 182,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,072 : 84,368 = 84,368 : x
  2. Step 2: Convert to fraction form
    39,072/84,368 = 84,368/x
  3. Step 3: Cross multiply
    39,072x = 84,368 × 84,368
  4. Step 4: Simplify right side
    39,072x = 7,117,959,424
  5. Step 5: Solve for x
    x = 7,117,959,424/39,072
  6. Step 6: Final answer
    x = 182,175.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.