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Finding the Third Proportional to 124,608 and 193,266

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Solution

The third proportional to 124,608 and 193,266 is: 299,754.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,608 : 193,266 = 193,266 : x
  2. Step 2: Convert to fraction form
    124,608/193,266 = 193,266/x
  3. Step 3: Cross multiply
    124,608x = 193,266 × 193,266
  4. Step 4: Simplify right side
    124,608x = 37,351,746,756
  5. Step 5: Solve for x
    x = 37,351,746,756/124,608
  6. Step 6: Final answer
    x = 299,754.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.