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Finding the Third Proportional to 70,450 and 103,082

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Solution

The third proportional to 70,450 and 103,082 is: 150,828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,450 : 103,082 = 103,082 : x
  2. Step 2: Convert to fraction form
    70,450/103,082 = 103,082/x
  3. Step 3: Cross multiply
    70,450x = 103,082 × 103,082
  4. Step 4: Simplify right side
    70,450x = 10,625,898,724
  5. Step 5: Solve for x
    x = 10,625,898,724/70,450
  6. Step 6: Final answer
    x = 150,828.94

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.