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Finding the Third Proportional to 64,036 and 135,320

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Solution

The third proportional to 64,036 and 135,320 is: 285,956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,036 : 135,320 = 135,320 : x
  2. Step 2: Convert to fraction form
    64,036/135,320 = 135,320/x
  3. Step 3: Cross multiply
    64,036x = 135,320 × 135,320
  4. Step 4: Simplify right side
    64,036x = 18,311,502,400
  5. Step 5: Solve for x
    x = 18,311,502,400/64,036
  6. Step 6: Final answer
    x = 285,956.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.