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Finding the Third Proportional to 103,968 and 156,690

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Solution

The third proportional to 103,968 and 156,690 is: 236,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,968 : 156,690 = 156,690 : x
  2. Step 2: Convert to fraction form
    103,968/156,690 = 156,690/x
  3. Step 3: Cross multiply
    103,968x = 156,690 × 156,690
  4. Step 4: Simplify right side
    103,968x = 24,551,756,100
  5. Step 5: Solve for x
    x = 24,551,756,100/103,968
  6. Step 6: Final answer
    x = 236,147.24

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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.