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Finding the Third Proportional to 105,389 and 158,087

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Solution

The third proportional to 105,389 and 158,087 is: 237,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,389 : 158,087 = 158,087 : x
  2. Step 2: Convert to fraction form
    105,389/158,087 = 158,087/x
  3. Step 3: Cross multiply
    105,389x = 158,087 × 158,087
  4. Step 4: Simplify right side
    105,389x = 24,991,499,569
  5. Step 5: Solve for x
    x = 24,991,499,569/105,389
  6. Step 6: Final answer
    x = 237,135.75

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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.