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Finding the Third Proportional to 69,923.25 and 111,218.06

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Solution

The third proportional to 69,923.25 and 111,218.06 is: 176,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,923.25 : 111,218.06 = 111,218.06 : x
  2. Step 2: Convert to fraction form
    69,923.25/111,218.06 = 111,218.06/x
  3. Step 3: Cross multiply
    69,923.25x = 111,218.06 × 111,218.06
  4. Step 4: Simplify right side
    69,923.25x = 12,369,457,426.25
  5. Step 5: Solve for x
    x = 12,369,457,426.25/69,923.25
  6. Step 6: Final answer
    x = 176,900.49

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.