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Finding the Third Proportional to 63,106 and 135,932

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Solution

The third proportional to 63,106 and 135,932 is: 292,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,106 : 135,932 = 135,932 : x
  2. Step 2: Convert to fraction form
    63,106/135,932 = 135,932/x
  3. Step 3: Cross multiply
    63,106x = 135,932 × 135,932
  4. Step 4: Simplify right side
    63,106x = 18,477,508,624
  5. Step 5: Solve for x
    x = 18,477,508,624/63,106
  6. Step 6: Final answer
    x = 292,801.14

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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.