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Finding the Third Proportional to 122,696 and 273,040

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Solution

The third proportional to 122,696 and 273,040 is: 607,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,696 : 273,040 = 273,040 : x
  2. Step 2: Convert to fraction form
    122,696/273,040 = 273,040/x
  3. Step 3: Cross multiply
    122,696x = 273,040 × 273,040
  4. Step 4: Simplify right side
    122,696x = 74,550,841,600
  5. Step 5: Solve for x
    x = 74,550,841,600/122,696
  6. Step 6: Final answer
    x = 607,606.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.