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Finding the Third Proportional to 109,374.75 and 156,408.75

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Solution

The third proportional to 109,374.75 and 156,408.75 is: 223,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,374.75 : 156,408.75 = 156,408.75 : x
  2. Step 2: Convert to fraction form
    109,374.75/156,408.75 = 156,408.75/x
  3. Step 3: Cross multiply
    109,374.75x = 156,408.75 × 156,408.75
  4. Step 4: Simplify right side
    109,374.75x = 24,463,697,076.56
  5. Step 5: Solve for x
    x = 24,463,697,076.56/109,374.75
  6. Step 6: Final answer
    x = 223,668.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.