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Finding the Third Proportional to 103,832 and 156,444

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Solution

The third proportional to 103,832 and 156,444 is: 235,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,832 : 156,444 = 156,444 : x
  2. Step 2: Convert to fraction form
    103,832/156,444 = 156,444/x
  3. Step 3: Cross multiply
    103,832x = 156,444 × 156,444
  4. Step 4: Simplify right side
    103,832x = 24,474,725,136
  5. Step 5: Solve for x
    x = 24,474,725,136/103,832
  6. Step 6: Final answer
    x = 235,714.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.