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Finding the Third Proportional to 63,224 and 135,416

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Solution

The third proportional to 63,224 and 135,416 is: 290,040.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,224 : 135,416 = 135,416 : x
  2. Step 2: Convert to fraction form
    63,224/135,416 = 135,416/x
  3. Step 3: Cross multiply
    63,224x = 135,416 × 135,416
  4. Step 4: Simplify right side
    63,224x = 18,337,493,056
  5. Step 5: Solve for x
    x = 18,337,493,056/63,224
  6. Step 6: Final answer
    x = 290,040.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.