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Finding the Third Proportional to 115,764 and 237,672

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Solution

The third proportional to 115,764 and 237,672 is: 487,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,764 : 237,672 = 237,672 : x
  2. Step 2: Convert to fraction form
    115,764/237,672 = 237,672/x
  3. Step 3: Cross multiply
    115,764x = 237,672 × 237,672
  4. Step 4: Simplify right side
    115,764x = 56,487,979,584
  5. Step 5: Solve for x
    x = 56,487,979,584/115,764
  6. Step 6: Final answer
    x = 487,958.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.