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Finding the Third Proportional to 64,982 and 135,072

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Solution

The third proportional to 64,982 and 135,072 is: 280,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,982 : 135,072 = 135,072 : x
  2. Step 2: Convert to fraction form
    64,982/135,072 = 135,072/x
  3. Step 3: Cross multiply
    64,982x = 135,072 × 135,072
  4. Step 4: Simplify right side
    64,982x = 18,244,445,184
  5. Step 5: Solve for x
    x = 18,244,445,184/64,982
  6. Step 6: Final answer
    x = 280,761.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.