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Finding the Third Proportional to 104,005 and 156,742.50

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Solution

The third proportional to 104,005 and 156,742.50 is: 236,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,005 : 156,742.50 = 156,742.50 : x
  2. Step 2: Convert to fraction form
    104,005/156,742.50 = 156,742.50/x
  3. Step 3: Cross multiply
    104,005x = 156,742.50 × 156,742.50
  4. Step 4: Simplify right side
    104,005x = 24,568,211,306.25
  5. Step 5: Solve for x
    x = 24,568,211,306.25/104,005
  6. Step 6: Final answer
    x = 236,221.44

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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.