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Finding the Third Proportional to 47,762 and 102,574

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Solution

The third proportional to 47,762 and 102,574 is: 220,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,762 : 102,574 = 102,574 : x
  2. Step 2: Convert to fraction form
    47,762/102,574 = 102,574/x
  3. Step 3: Cross multiply
    47,762x = 102,574 × 102,574
  4. Step 4: Simplify right side
    47,762x = 10,521,425,476
  5. Step 5: Solve for x
    x = 10,521,425,476/47,762
  6. Step 6: Final answer
    x = 220,288.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.