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Finding the Third Proportional to 81,129.75 and 121,019.63

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Solution

The third proportional to 81,129.75 and 121,019.63 is: 180,522.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,129.75 : 121,019.63 = 121,019.63 : x
  2. Step 2: Convert to fraction form
    81,129.75/121,019.63 = 121,019.63/x
  3. Step 3: Cross multiply
    81,129.75x = 121,019.63 × 121,019.63
  4. Step 4: Simplify right side
    81,129.75x = 14,645,749,635.14
  5. Step 5: Solve for x
    x = 14,645,749,635.14/81,129.75
  6. Step 6: Final answer
    x = 180,522.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.