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Finding the Third Proportional to 80,133.05 and 121,498.10

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Solution

The third proportional to 80,133.05 and 121,498.10 is: 184,215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,133.05 : 121,498.10 = 121,498.10 : x
  2. Step 2: Convert to fraction form
    80,133.05/121,498.10 = 121,498.10/x
  3. Step 3: Cross multiply
    80,133.05x = 121,498.10 × 121,498.10
  4. Step 4: Simplify right side
    80,133.05x = 14,761,788,683.29
  5. Step 5: Solve for x
    x = 14,761,788,683.29/80,133.05
  6. Step 6: Final answer
    x = 184,215.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.