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Finding the Third Proportional to 64,412 and 135,868

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Solution

The third proportional to 64,412 and 135,868 is: 286,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,412 : 135,868 = 135,868 : x
  2. Step 2: Convert to fraction form
    64,412/135,868 = 135,868/x
  3. Step 3: Cross multiply
    64,412x = 135,868 × 135,868
  4. Step 4: Simplify right side
    64,412x = 18,460,113,424
  5. Step 5: Solve for x
    x = 18,460,113,424/64,412
  6. Step 6: Final answer
    x = 286,594.32

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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.