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Finding the Third Proportional to 100,960 and 156,308

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Solution

The third proportional to 100,960 and 156,308 is: 241,998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,960 : 156,308 = 156,308 : x
  2. Step 2: Convert to fraction form
    100,960/156,308 = 156,308/x
  3. Step 3: Cross multiply
    100,960x = 156,308 × 156,308
  4. Step 4: Simplify right side
    100,960x = 24,432,190,864
  5. Step 5: Solve for x
    x = 24,432,190,864/100,960
  6. Step 6: Final answer
    x = 241,998.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.