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Finding the Third Proportional to 105,387 and 158,084

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Solution

The third proportional to 105,387 and 158,084 is: 237,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,387 : 158,084 = 158,084 : x
  2. Step 2: Convert to fraction form
    105,387/158,084 = 158,084/x
  3. Step 3: Cross multiply
    105,387x = 158,084 × 158,084
  4. Step 4: Simplify right side
    105,387x = 24,990,551,056
  5. Step 5: Solve for x
    x = 24,990,551,056/105,387
  6. Step 6: Final answer
    x = 237,131.25

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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.