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Finding the Third Proportional to 69,394 and 103,901

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Solution

The third proportional to 69,394 and 103,901 is: 155,567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,394 : 103,901 = 103,901 : x
  2. Step 2: Convert to fraction form
    69,394/103,901 = 103,901/x
  3. Step 3: Cross multiply
    69,394x = 103,901 × 103,901
  4. Step 4: Simplify right side
    69,394x = 10,795,417,801
  5. Step 5: Solve for x
    x = 10,795,417,801/69,394
  6. Step 6: Final answer
    x = 155,567.02

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Why These Related Problems?

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