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Finding the Third Proportional to 71,141 and 103,039

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Solution

The third proportional to 71,141 and 103,039 is: 149,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,141 : 103,039 = 103,039 : x
  2. Step 2: Convert to fraction form
    71,141/103,039 = 103,039/x
  3. Step 3: Cross multiply
    71,141x = 103,039 × 103,039
  4. Step 4: Simplify right side
    71,141x = 10,617,035,521
  5. Step 5: Solve for x
    x = 10,617,035,521/71,141
  6. Step 6: Final answer
    x = 149,239.33

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.