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Finding the Third Proportional to 74,408 and 156,082

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Solution

The third proportional to 74,408 and 156,082 is: 327,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,408 : 156,082 = 156,082 : x
  2. Step 2: Convert to fraction form
    74,408/156,082 = 156,082/x
  3. Step 3: Cross multiply
    74,408x = 156,082 × 156,082
  4. Step 4: Simplify right side
    74,408x = 24,361,590,724
  5. Step 5: Solve for x
    x = 24,361,590,724/74,408
  6. Step 6: Final answer
    x = 327,405.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.