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Finding the Third Proportional to 48,746 and 101,322

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Solution

The third proportional to 48,746 and 101,322 is: 210,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,746 : 101,322 = 101,322 : x
  2. Step 2: Convert to fraction form
    48,746/101,322 = 101,322/x
  3. Step 3: Cross multiply
    48,746x = 101,322 × 101,322
  4. Step 4: Simplify right side
    48,746x = 10,266,147,684
  5. Step 5: Solve for x
    x = 10,266,147,684/48,746
  6. Step 6: Final answer
    x = 210,604.93

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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.