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Finding the Third Proportional to 52,674 and 111,545

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Solution

The third proportional to 52,674 and 111,545 is: 236,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,674 : 111,545 = 111,545 : x
  2. Step 2: Convert to fraction form
    52,674/111,545 = 111,545/x
  3. Step 3: Cross multiply
    52,674x = 111,545 × 111,545
  4. Step 4: Simplify right side
    52,674x = 12,442,287,025
  5. Step 5: Solve for x
    x = 12,442,287,025/52,674
  6. Step 6: Final answer
    x = 236,213.07

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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.