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Finding the Third Proportional to 109,745 and 164,148

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Solution

The third proportional to 109,745 and 164,148 is: 245,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,745 : 164,148 = 164,148 : x
  2. Step 2: Convert to fraction form
    109,745/164,148 = 164,148/x
  3. Step 3: Cross multiply
    109,745x = 164,148 × 164,148
  4. Step 4: Simplify right side
    109,745x = 26,944,565,904
  5. Step 5: Solve for x
    x = 26,944,565,904/109,745
  6. Step 6: Final answer
    x = 245,519.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.