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Finding the Third Proportional to 122,574 and 192,606

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Solution

The third proportional to 122,574 and 192,606 is: 302,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,574 : 192,606 = 192,606 : x
  2. Step 2: Convert to fraction form
    122,574/192,606 = 192,606/x
  3. Step 3: Cross multiply
    122,574x = 192,606 × 192,606
  4. Step 4: Simplify right side
    122,574x = 37,097,071,236
  5. Step 5: Solve for x
    x = 37,097,071,236/122,574
  6. Step 6: Final answer
    x = 302,650.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.