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Finding the Third Proportional to 45,964 and 94,880

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Solution

The third proportional to 45,964 and 94,880 is: 195,853.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,964 : 94,880 = 94,880 : x
  2. Step 2: Convert to fraction form
    45,964/94,880 = 94,880/x
  3. Step 3: Cross multiply
    45,964x = 94,880 × 94,880
  4. Step 4: Simplify right side
    45,964x = 9,002,214,400
  5. Step 5: Solve for x
    x = 9,002,214,400/45,964
  6. Step 6: Final answer
    x = 195,853.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.