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Finding the Third Proportional to 80,472 and 121,742.25

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Solution

The third proportional to 80,472 and 121,742.25 is: 184,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,472 : 121,742.25 = 121,742.25 : x
  2. Step 2: Convert to fraction form
    80,472/121,742.25 = 121,742.25/x
  3. Step 3: Cross multiply
    80,472x = 121,742.25 × 121,742.25
  4. Step 4: Simplify right side
    80,472x = 14,821,175,435.06
  5. Step 5: Solve for x
    x = 14,821,175,435.06/80,472
  6. Step 6: Final answer
    x = 184,178.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.