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Finding the Third Proportional to 90,610 and 133,245

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Solution

The third proportional to 90,610 and 133,245 is: 195,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,610 : 133,245 = 133,245 : x
  2. Step 2: Convert to fraction form
    90,610/133,245 = 133,245/x
  3. Step 3: Cross multiply
    90,610x = 133,245 × 133,245
  4. Step 4: Simplify right side
    90,610x = 17,754,230,025
  5. Step 5: Solve for x
    x = 17,754,230,025/90,610
  6. Step 6: Final answer
    x = 195,941.18

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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.