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Finding the Third Proportional to 122,688 and 273,024

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Solution

The third proportional to 122,688 and 273,024 is: 607,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,688 : 273,024 = 273,024 : x
  2. Step 2: Convert to fraction form
    122,688/273,024 = 273,024/x
  3. Step 3: Cross multiply
    122,688x = 273,024 × 273,024
  4. Step 4: Simplify right side
    122,688x = 74,542,104,576
  5. Step 5: Solve for x
    x = 74,542,104,576/122,688
  6. Step 6: Final answer
    x = 607,574.54

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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.