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Finding the Third Proportional to 112,482.42 and 158,198.70

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Solution

The third proportional to 112,482.42 and 158,198.70 is: 222,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,482.42 : 158,198.70 = 158,198.70 : x
  2. Step 2: Convert to fraction form
    112,482.42/158,198.70 = 158,198.70/x
  3. Step 3: Cross multiply
    112,482.42x = 158,198.70 × 158,198.70
  4. Step 4: Simplify right side
    112,482.42x = 25,026,827,198.58
  5. Step 5: Solve for x
    x = 25,026,827,198.58/112,482.42
  6. Step 6: Final answer
    x = 222,495.45

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.