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Finding the Third Proportional to 119,074.50 and 164,031

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Solution

The third proportional to 119,074.50 and 164,031 is: 225,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,074.50 : 164,031 = 164,031 : x
  2. Step 2: Convert to fraction form
    119,074.50/164,031 = 164,031/x
  3. Step 3: Cross multiply
    119,074.50x = 164,031 × 164,031
  4. Step 4: Simplify right side
    119,074.50x = 26,906,168,961
  5. Step 5: Solve for x
    x = 26,906,168,961/119,074.50
  6. Step 6: Final answer
    x = 225,960.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.