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Finding the Third Proportional to 112,772 and 168,810

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Solution

The third proportional to 112,772 and 168,810 is: 252,694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,772 : 168,810 = 168,810 : x
  2. Step 2: Convert to fraction form
    112,772/168,810 = 168,810/x
  3. Step 3: Cross multiply
    112,772x = 168,810 × 168,810
  4. Step 4: Simplify right side
    112,772x = 28,496,816,100
  5. Step 5: Solve for x
    x = 28,496,816,100/112,772
  6. Step 6: Final answer
    x = 252,694.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.