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Finding the Third Proportional to 53,222.63 and 80,056.13

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Solution

The third proportional to 53,222.63 and 80,056.13 is: 120,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,222.63 : 80,056.13 = 80,056.13 : x
  2. Step 2: Convert to fraction form
    53,222.63/80,056.13 = 80,056.13/x
  3. Step 3: Cross multiply
    53,222.63x = 80,056.13 × 80,056.13
  4. Step 4: Simplify right side
    53,222.63x = 6,408,983,150.02
  5. Step 5: Solve for x
    x = 6,408,983,150.02/53,222.63
  6. Step 6: Final answer
    x = 120,418.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.