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Finding the Third Proportional to 64,540 and 138,967

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Solution

The third proportional to 64,540 and 138,967 is: 299,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,540 : 138,967 = 138,967 : x
  2. Step 2: Convert to fraction form
    64,540/138,967 = 138,967/x
  3. Step 3: Cross multiply
    64,540x = 138,967 × 138,967
  4. Step 4: Simplify right side
    64,540x = 19,311,827,089
  5. Step 5: Solve for x
    x = 19,311,827,089/64,540
  6. Step 6: Final answer
    x = 299,222.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.