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Finding the Third Proportional to 124,378 and 197,263

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Solution

The third proportional to 124,378 and 197,263 is: 312,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,378 : 197,263 = 197,263 : x
  2. Step 2: Convert to fraction form
    124,378/197,263 = 197,263/x
  3. Step 3: Cross multiply
    124,378x = 197,263 × 197,263
  4. Step 4: Simplify right side
    124,378x = 38,912,691,169
  5. Step 5: Solve for x
    x = 38,912,691,169/124,378
  6. Step 6: Final answer
    x = 312,858.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.