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Finding the Third Proportional to 74,455.50 and 111,698.25

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Solution

The third proportional to 74,455.50 and 111,698.25 is: 167,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,455.50 : 111,698.25 = 111,698.25 : x
  2. Step 2: Convert to fraction form
    74,455.50/111,698.25 = 111,698.25/x
  3. Step 3: Cross multiply
    74,455.50x = 111,698.25 × 111,698.25
  4. Step 4: Simplify right side
    74,455.50x = 12,476,499,053.06
  5. Step 5: Solve for x
    x = 12,476,499,053.06/74,455.50
  6. Step 6: Final answer
    x = 167,569.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.