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Finding the Third Proportional to 69,528 and 111,942

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Solution

The third proportional to 69,528 and 111,942 is: 180,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,528 : 111,942 = 111,942 : x
  2. Step 2: Convert to fraction form
    69,528/111,942 = 111,942/x
  3. Step 3: Cross multiply
    69,528x = 111,942 × 111,942
  4. Step 4: Simplify right side
    69,528x = 12,531,011,364
  5. Step 5: Solve for x
    x = 12,531,011,364/69,528
  6. Step 6: Final answer
    x = 180,229.71

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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.