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Finding the Third Proportional to 81,129.50 and 121,019.25

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Solution

The third proportional to 81,129.50 and 121,019.25 is: 180,521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,129.50 : 121,019.25 = 121,019.25 : x
  2. Step 2: Convert to fraction form
    81,129.50/121,019.25 = 121,019.25/x
  3. Step 3: Cross multiply
    81,129.50x = 121,019.25 × 121,019.25
  4. Step 4: Simplify right side
    81,129.50x = 14,645,658,870.56
  5. Step 5: Solve for x
    x = 14,645,658,870.56/81,129.50
  6. Step 6: Final answer
    x = 180,521.99

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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.