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Finding the Third Proportional to 100,960 and 156,770

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Solution

The third proportional to 100,960 and 156,770 is: 243,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,960 : 156,770 = 156,770 : x
  2. Step 2: Convert to fraction form
    100,960/156,770 = 156,770/x
  3. Step 3: Cross multiply
    100,960x = 156,770 × 156,770
  4. Step 4: Simplify right side
    100,960x = 24,576,832,900
  5. Step 5: Solve for x
    x = 24,576,832,900/100,960
  6. Step 6: Final answer
    x = 243,431.39

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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.