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Finding the Third Proportional to 69,426 and 103,932

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Solution

The third proportional to 69,426 and 103,932 is: 155,588.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,426 : 103,932 = 103,932 : x
  2. Step 2: Convert to fraction form
    69,426/103,932 = 103,932/x
  3. Step 3: Cross multiply
    69,426x = 103,932 × 103,932
  4. Step 4: Simplify right side
    69,426x = 10,801,860,624
  5. Step 5: Solve for x
    x = 10,801,860,624/69,426
  6. Step 6: Final answer
    x = 155,588.12

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