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Finding the Third Proportional to 47,122 and 69,270

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Solution

The third proportional to 47,122 and 69,270 is: 101,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,122 : 69,270 = 69,270 : x
  2. Step 2: Convert to fraction form
    47,122/69,270 = 69,270/x
  3. Step 3: Cross multiply
    47,122x = 69,270 × 69,270
  4. Step 4: Simplify right side
    47,122x = 4,798,332,900
  5. Step 5: Solve for x
    x = 4,798,332,900/47,122
  6. Step 6: Final answer
    x = 101,827.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.