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Finding the Third Proportional to 52,622.63 and 80,247.38

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Solution

The third proportional to 52,622.63 and 80,247.38 is: 122,374.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,622.63 : 80,247.38 = 80,247.38 : x
  2. Step 2: Convert to fraction form
    52,622.63/80,247.38 = 80,247.38/x
  3. Step 3: Cross multiply
    52,622.63x = 80,247.38 × 80,247.38
  4. Step 4: Simplify right side
    52,622.63x = 6,439,641,194.39
  5. Step 5: Solve for x
    x = 6,439,641,194.39/52,622.63
  6. Step 6: Final answer
    x = 122,374.00

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Why These Related Problems?

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