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Finding the Third Proportional to 109,365.75 and 156,395.25

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Solution

The third proportional to 109,365.75 and 156,395.25 is: 223,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,365.75 : 156,395.25 = 156,395.25 : x
  2. Step 2: Convert to fraction form
    109,365.75/156,395.25 = 156,395.25/x
  3. Step 3: Cross multiply
    109,365.75x = 156,395.25 × 156,395.25
  4. Step 4: Simplify right side
    109,365.75x = 24,459,474,222.56
  5. Step 5: Solve for x
    x = 24,459,474,222.56/109,365.75
  6. Step 6: Final answer
    x = 223,648.39

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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.