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Finding the Third Proportional to 47,216 and 69,123

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Solution

The third proportional to 47,216 and 69,123 is: 101,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,216 : 69,123 = 69,123 : x
  2. Step 2: Convert to fraction form
    47,216/69,123 = 69,123/x
  3. Step 3: Cross multiply
    47,216x = 69,123 × 69,123
  4. Step 4: Simplify right side
    47,216x = 4,777,989,129
  5. Step 5: Solve for x
    x = 4,777,989,129/47,216
  6. Step 6: Final answer
    x = 101,194.28

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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.