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Finding the Third Proportional to 104,482 and 156,722

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Solution

The third proportional to 104,482 and 156,722 is: 235,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,482 : 156,722 = 156,722 : x
  2. Step 2: Convert to fraction form
    104,482/156,722 = 156,722/x
  3. Step 3: Cross multiply
    104,482x = 156,722 × 156,722
  4. Step 4: Simplify right side
    104,482x = 24,561,785,284
  5. Step 5: Solve for x
    x = 24,561,785,284/104,482
  6. Step 6: Final answer
    x = 235,081.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.