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Finding the Third Proportional to 51,184 and 74,816

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Solution

The third proportional to 51,184 and 74,816 is: 109,359.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,184 : 74,816 = 74,816 : x
  2. Step 2: Convert to fraction form
    51,184/74,816 = 74,816/x
  3. Step 3: Cross multiply
    51,184x = 74,816 × 74,816
  4. Step 4: Simplify right side
    51,184x = 5,597,433,856
  5. Step 5: Solve for x
    x = 5,597,433,856/51,184
  6. Step 6: Final answer
    x = 109,359.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.