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Finding the Third Proportional to 106,327.50 and 144,468

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Solution

The third proportional to 106,327.50 and 144,468 is: 196,289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,327.50 : 144,468 = 144,468 : x
  2. Step 2: Convert to fraction form
    106,327.50/144,468 = 144,468/x
  3. Step 3: Cross multiply
    106,327.50x = 144,468 × 144,468
  4. Step 4: Simplify right side
    106,327.50x = 20,871,003,024
  5. Step 5: Solve for x
    x = 20,871,003,024/106,327.50
  6. Step 6: Final answer
    x = 196,289.79

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.