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Finding the Third Proportional to 109,719 and 146,808

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Solution

The third proportional to 109,719 and 146,808 is: 196,434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,719 : 146,808 = 146,808 : x
  2. Step 2: Convert to fraction form
    109,719/146,808 = 146,808/x
  3. Step 3: Cross multiply
    109,719x = 146,808 × 146,808
  4. Step 4: Simplify right side
    109,719x = 21,552,588,864
  5. Step 5: Solve for x
    x = 21,552,588,864/109,719
  6. Step 6: Final answer
    x = 196,434.43

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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.