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Finding the Third Proportional to 110,215.69 and 169,629.19

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Solution

The third proportional to 110,215.69 and 169,629.19 is: 261,070.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,215.69 : 169,629.19 = 169,629.19 : x
  2. Step 2: Convert to fraction form
    110,215.69/169,629.19 = 169,629.19/x
  3. Step 3: Cross multiply
    110,215.69x = 169,629.19 × 169,629.19
  4. Step 4: Simplify right side
    110,215.69x = 28,774,061,251.91
  5. Step 5: Solve for x
    x = 28,774,061,251.91/110,215.69
  6. Step 6: Final answer
    x = 261,070.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.