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Finding the Third Proportional to 52,709 and 115,672

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Solution

The third proportional to 52,709 and 115,672 is: 253,846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,709 : 115,672 = 115,672 : x
  2. Step 2: Convert to fraction form
    52,709/115,672 = 115,672/x
  3. Step 3: Cross multiply
    52,709x = 115,672 × 115,672
  4. Step 4: Simplify right side
    52,709x = 13,380,011,584
  5. Step 5: Solve for x
    x = 13,380,011,584/52,709
  6. Step 6: Final answer
    x = 253,846.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.