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Finding the Third Proportional to 69,554 and 111,986

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Solution

The third proportional to 69,554 and 111,986 is: 180,304.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,554 : 111,986 = 111,986 : x
  2. Step 2: Convert to fraction form
    69,554/111,986 = 111,986/x
  3. Step 3: Cross multiply
    69,554x = 111,986 × 111,986
  4. Step 4: Simplify right side
    69,554x = 12,540,864,196
  5. Step 5: Solve for x
    x = 12,540,864,196/69,554
  6. Step 6: Final answer
    x = 180,304.00

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.