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Finding the Third Proportional to 90,534.75 and 133,025.63

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Solution

The third proportional to 90,534.75 and 133,025.63 is: 195,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,534.75 : 133,025.63 = 133,025.63 : x
  2. Step 2: Convert to fraction form
    90,534.75/133,025.63 = 133,025.63/x
  3. Step 3: Cross multiply
    90,534.75x = 133,025.63 × 133,025.63
  4. Step 4: Simplify right side
    90,534.75x = 17,695,816,906.64
  5. Step 5: Solve for x
    x = 17,695,816,906.64/90,534.75
  6. Step 6: Final answer
    x = 195,458.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.