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Finding the Third Proportional to 45,516 and 94,668

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Solution

The third proportional to 45,516 and 94,668 is: 196,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,516 : 94,668 = 94,668 : x
  2. Step 2: Convert to fraction form
    45,516/94,668 = 94,668/x
  3. Step 3: Cross multiply
    45,516x = 94,668 × 94,668
  4. Step 4: Simplify right side
    45,516x = 8,962,030,224
  5. Step 5: Solve for x
    x = 8,962,030,224/45,516
  6. Step 6: Final answer
    x = 196,898.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.