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Finding the Third Proportional to 69,620 and 101,914

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Solution

The third proportional to 69,620 and 101,914 is: 149,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,620 : 101,914 = 101,914 : x
  2. Step 2: Convert to fraction form
    69,620/101,914 = 101,914/x
  3. Step 3: Cross multiply
    69,620x = 101,914 × 101,914
  4. Step 4: Simplify right side
    69,620x = 10,386,463,396
  5. Step 5: Solve for x
    x = 10,386,463,396/69,620
  6. Step 6: Final answer
    x = 149,187.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.