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Finding the Third Proportional to 112,629 and 168,609

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Solution

The third proportional to 112,629 and 168,609 is: 252,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,629 : 168,609 = 168,609 : x
  2. Step 2: Convert to fraction form
    112,629/168,609 = 168,609/x
  3. Step 3: Cross multiply
    112,629x = 168,609 × 168,609
  4. Step 4: Simplify right side
    112,629x = 28,428,994,881
  5. Step 5: Solve for x
    x = 28,428,994,881/112,629
  6. Step 6: Final answer
    x = 252,412.74

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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.