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Finding the Third Proportional to 104,477.25 and 156,714.75

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Solution

The third proportional to 104,477.25 and 156,714.75 is: 235,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,477.25 : 156,714.75 = 156,714.75 : x
  2. Step 2: Convert to fraction form
    104,477.25/156,714.75 = 156,714.75/x
  3. Step 3: Cross multiply
    104,477.25x = 156,714.75 × 156,714.75
  4. Step 4: Simplify right side
    104,477.25x = 24,559,512,867.56
  5. Step 5: Solve for x
    x = 24,559,512,867.56/104,477.25
  6. Step 6: Final answer
    x = 235,070.44

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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.