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Finding the Third Proportional to 64,412 and 130,644

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Solution

The third proportional to 64,412 and 130,644 is: 264,979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,412 : 130,644 = 130,644 : x
  2. Step 2: Convert to fraction form
    64,412/130,644 = 130,644/x
  3. Step 3: Cross multiply
    64,412x = 130,644 × 130,644
  4. Step 4: Simplify right side
    64,412x = 17,067,854,736
  5. Step 5: Solve for x
    x = 17,067,854,736/64,412
  6. Step 6: Final answer
    x = 264,979.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.