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Finding the Third Proportional to 56,274 and 119,082

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Solution

The third proportional to 56,274 and 119,082 is: 251,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,274 : 119,082 = 119,082 : x
  2. Step 2: Convert to fraction form
    56,274/119,082 = 119,082/x
  3. Step 3: Cross multiply
    56,274x = 119,082 × 119,082
  4. Step 4: Simplify right side
    56,274x = 14,180,522,724
  5. Step 5: Solve for x
    x = 14,180,522,724/56,274
  6. Step 6: Final answer
    x = 251,990.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.