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Finding the Third Proportional to 122,906 and 183,576

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Solution

The third proportional to 122,906 and 183,576 is: 274,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,906 : 183,576 = 183,576 : x
  2. Step 2: Convert to fraction form
    122,906/183,576 = 183,576/x
  3. Step 3: Cross multiply
    122,906x = 183,576 × 183,576
  4. Step 4: Simplify right side
    122,906x = 33,700,147,776
  5. Step 5: Solve for x
    x = 33,700,147,776/122,906
  6. Step 6: Final answer
    x = 274,194.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.