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Finding the Third Proportional to 104,991.19 and 162,836.58

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Solution

The third proportional to 104,991.19 and 162,836.58 is: 252,552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,991.19 : 162,836.58 = 162,836.58 : x
  2. Step 2: Convert to fraction form
    104,991.19/162,836.58 = 162,836.58/x
  3. Step 3: Cross multiply
    104,991.19x = 162,836.58 × 162,836.58
  4. Step 4: Simplify right side
    104,991.19x = 26,515,751,175.46
  5. Step 5: Solve for x
    x = 26,515,751,175.46/104,991.19
  6. Step 6: Final answer
    x = 252,552.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.