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Finding the Third Proportional to 139,072 and 299,110

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Solution

The third proportional to 139,072 and 299,110 is: 643,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,072 : 299,110 = 299,110 : x
  2. Step 2: Convert to fraction form
    139,072/299,110 = 299,110/x
  3. Step 3: Cross multiply
    139,072x = 299,110 × 299,110
  4. Step 4: Simplify right side
    139,072x = 89,466,792,100
  5. Step 5: Solve for x
    x = 89,466,792,100/139,072
  6. Step 6: Final answer
    x = 643,312.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.