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Finding the Third Proportional to 90,562 and 197,954

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Solution

The third proportional to 90,562 and 197,954 is: 432,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,562 : 197,954 = 197,954 : x
  2. Step 2: Convert to fraction form
    90,562/197,954 = 197,954/x
  3. Step 3: Cross multiply
    90,562x = 197,954 × 197,954
  4. Step 4: Simplify right side
    90,562x = 39,185,786,116
  5. Step 5: Solve for x
    x = 39,185,786,116/90,562
  6. Step 6: Final answer
    x = 432,695.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.