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Finding the Third Proportional to 122,904 and 183,573

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Solution

The third proportional to 122,904 and 183,573 is: 274,189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,904 : 183,573 = 183,573 : x
  2. Step 2: Convert to fraction form
    122,904/183,573 = 183,573/x
  3. Step 3: Cross multiply
    122,904x = 183,573 × 183,573
  4. Step 4: Simplify right side
    122,904x = 33,699,046,329
  5. Step 5: Solve for x
    x = 33,699,046,329/122,904
  6. Step 6: Final answer
    x = 274,189.99

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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.