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Finding the Third Proportional to 124,606 and 193,263

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Solution

The third proportional to 124,606 and 193,263 is: 299,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,606 : 193,263 = 193,263 : x
  2. Step 2: Convert to fraction form
    124,606/193,263 = 193,263/x
  3. Step 3: Cross multiply
    124,606x = 193,263 × 193,263
  4. Step 4: Simplify right side
    124,606x = 37,350,587,169
  5. Step 5: Solve for x
    x = 37,350,587,169/124,606
  6. Step 6: Final answer
    x = 299,749.51

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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.