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Finding the Third Proportional to 45,970 and 94,816

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Solution

The third proportional to 45,970 and 94,816 is: 195,563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,970 : 94,816 = 94,816 : x
  2. Step 2: Convert to fraction form
    45,970/94,816 = 94,816/x
  3. Step 3: Cross multiply
    45,970x = 94,816 × 94,816
  4. Step 4: Simplify right side
    45,970x = 8,990,073,856
  5. Step 5: Solve for x
    x = 8,990,073,856/45,970
  6. Step 6: Final answer
    x = 195,563.93

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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.