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Finding the Third Proportional to 122,724 and 193,976

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Solution

The third proportional to 122,724 and 193,976 is: 306,596.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,724 : 193,976 = 193,976 : x
  2. Step 2: Convert to fraction form
    122,724/193,976 = 193,976/x
  3. Step 3: Cross multiply
    122,724x = 193,976 × 193,976
  4. Step 4: Simplify right side
    122,724x = 37,626,688,576
  5. Step 5: Solve for x
    x = 37,626,688,576/122,724
  6. Step 6: Final answer
    x = 306,596.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.