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Finding the Third Proportional to 35,996 and 84,072

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Solution

The third proportional to 35,996 and 84,072 is: 196,357.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,996 : 84,072 = 84,072 : x
  2. Step 2: Convert to fraction form
    35,996/84,072 = 84,072/x
  3. Step 3: Cross multiply
    35,996x = 84,072 × 84,072
  4. Step 4: Simplify right side
    35,996x = 7,068,101,184
  5. Step 5: Solve for x
    x = 7,068,101,184/35,996
  6. Step 6: Final answer
    x = 196,357.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.