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Finding the Third Proportional to 109,055 and 146,545

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Solution

The third proportional to 109,055 and 146,545 is: 196,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,055 : 146,545 = 146,545 : x
  2. Step 2: Convert to fraction form
    109,055/146,545 = 146,545/x
  3. Step 3: Cross multiply
    109,055x = 146,545 × 146,545
  4. Step 4: Simplify right side
    109,055x = 21,475,437,025
  5. Step 5: Solve for x
    x = 21,475,437,025/109,055
  6. Step 6: Final answer
    x = 196,922.99

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.