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Finding the Third Proportional to 109,756 and 164,166

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Solution

The third proportional to 109,756 and 164,166 is: 245,549.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,756 : 164,166 = 164,166 : x
  2. Step 2: Convert to fraction form
    109,756/164,166 = 164,166/x
  3. Step 3: Cross multiply
    109,756x = 164,166 × 164,166
  4. Step 4: Simplify right side
    109,756x = 26,950,475,556
  5. Step 5: Solve for x
    x = 26,950,475,556/109,756
  6. Step 6: Final answer
    x = 245,549.00

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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.