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Finding the Third Proportional to 73,841.63 and 111,643.31

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Solution

The third proportional to 73,841.63 and 111,643.31 is: 168,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,841.63 : 111,643.31 = 111,643.31 : x
  2. Step 2: Convert to fraction form
    73,841.63/111,643.31 = 111,643.31/x
  3. Step 3: Cross multiply
    73,841.63x = 111,643.31 × 111,643.31
  4. Step 4: Simplify right side
    73,841.63x = 12,464,229,225.97
  5. Step 5: Solve for x
    x = 12,464,229,225.97/73,841.63
  6. Step 6: Final answer
    x = 168,796.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.