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Finding the Third Proportional to 47,818 and 101,324

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Solution

The third proportional to 47,818 and 101,324 is: 214,700.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,818 : 101,324 = 101,324 : x
  2. Step 2: Convert to fraction form
    47,818/101,324 = 101,324/x
  3. Step 3: Cross multiply
    47,818x = 101,324 × 101,324
  4. Step 4: Simplify right side
    47,818x = 10,266,552,976
  5. Step 5: Solve for x
    x = 10,266,552,976/47,818
  6. Step 6: Final answer
    x = 214,700.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.