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Finding the Third Proportional to 64,931 and 135,055

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Solution

The third proportional to 64,931 and 135,055 is: 280,911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,931 : 135,055 = 135,055 : x
  2. Step 2: Convert to fraction form
    64,931/135,055 = 135,055/x
  3. Step 3: Cross multiply
    64,931x = 135,055 × 135,055
  4. Step 4: Simplify right side
    64,931x = 18,239,853,025
  5. Step 5: Solve for x
    x = 18,239,853,025/64,931
  6. Step 6: Final answer
    x = 280,911.32

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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.