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Finding the Third Proportional to 103,104 and 156,816

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Solution

The third proportional to 103,104 and 156,816 is: 238,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,104 : 156,816 = 156,816 : x
  2. Step 2: Convert to fraction form
    103,104/156,816 = 156,816/x
  3. Step 3: Cross multiply
    103,104x = 156,816 × 156,816
  4. Step 4: Simplify right side
    103,104x = 24,591,257,856
  5. Step 5: Solve for x
    x = 24,591,257,856/103,104
  6. Step 6: Final answer
    x = 238,509.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.