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Finding the Third Proportional to 39,254 and 84,766

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Solution

The third proportional to 39,254 and 84,766 is: 183,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,254 : 84,766 = 84,766 : x
  2. Step 2: Convert to fraction form
    39,254/84,766 = 84,766/x
  3. Step 3: Cross multiply
    39,254x = 84,766 × 84,766
  4. Step 4: Simplify right side
    39,254x = 7,185,274,756
  5. Step 5: Solve for x
    x = 7,185,274,756/39,254
  6. Step 6: Final answer
    x = 183,045.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.