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Finding the Third Proportional to 64,644 and 138,504

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Solution

The third proportional to 64,644 and 138,504 is: 296,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,644 : 138,504 = 138,504 : x
  2. Step 2: Convert to fraction form
    64,644/138,504 = 138,504/x
  3. Step 3: Cross multiply
    64,644x = 138,504 × 138,504
  4. Step 4: Simplify right side
    64,644x = 19,183,358,016
  5. Step 5: Solve for x
    x = 19,183,358,016/64,644
  6. Step 6: Final answer
    x = 296,753.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.