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Finding the Third Proportional to 112,097.25 and 171,429.75

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Solution

The third proportional to 112,097.25 and 171,429.75 is: 262,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,097.25 : 171,429.75 = 171,429.75 : x
  2. Step 2: Convert to fraction form
    112,097.25/171,429.75 = 171,429.75/x
  3. Step 3: Cross multiply
    112,097.25x = 171,429.75 × 171,429.75
  4. Step 4: Simplify right side
    112,097.25x = 29,388,159,185.06
  5. Step 5: Solve for x
    x = 29,388,159,185.06/112,097.25
  6. Step 6: Final answer
    x = 262,166.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.