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Finding the Third Proportional to 109,726 and 146,818

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Solution

The third proportional to 109,726 and 146,818 is: 196,448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,726 : 146,818 = 146,818 : x
  2. Step 2: Convert to fraction form
    109,726/146,818 = 146,818/x
  3. Step 3: Cross multiply
    109,726x = 146,818 × 146,818
  4. Step 4: Simplify right side
    109,726x = 21,555,525,124
  5. Step 5: Solve for x
    x = 21,555,525,124/109,726
  6. Step 6: Final answer
    x = 196,448.66

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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.