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Finding the Third Proportional to 47,124 and 69,273

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Solution

The third proportional to 47,124 and 69,273 is: 101,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,124 : 69,273 = 69,273 : x
  2. Step 2: Convert to fraction form
    47,124/69,273 = 69,273/x
  3. Step 3: Cross multiply
    47,124x = 69,273 × 69,273
  4. Step 4: Simplify right side
    47,124x = 4,798,748,529
  5. Step 5: Solve for x
    x = 4,798,748,529/47,124
  6. Step 6: Final answer
    x = 101,832.37

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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.