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Finding the Third Proportional to 67,122 and 156,765

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Solution

The third proportional to 67,122 and 156,765 is: 366,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,122 : 156,765 = 156,765 : x
  2. Step 2: Convert to fraction form
    67,122/156,765 = 156,765/x
  3. Step 3: Cross multiply
    67,122x = 156,765 × 156,765
  4. Step 4: Simplify right side
    67,122x = 24,575,265,225
  5. Step 5: Solve for x
    x = 24,575,265,225/67,122
  6. Step 6: Final answer
    x = 366,128.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.