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Finding the Third Proportional to 54,596 and 115,780

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Solution

The third proportional to 54,596 and 115,780 is: 245,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,596 : 115,780 = 115,780 : x
  2. Step 2: Convert to fraction form
    54,596/115,780 = 115,780/x
  3. Step 3: Cross multiply
    54,596x = 115,780 × 115,780
  4. Step 4: Simplify right side
    54,596x = 13,405,008,400
  5. Step 5: Solve for x
    x = 13,405,008,400/54,596
  6. Step 6: Final answer
    x = 245,530.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.