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Finding the Third Proportional to 124,435 and 192,153

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Solution

The third proportional to 124,435 and 192,153 is: 296,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,435 : 192,153 = 192,153 : x
  2. Step 2: Convert to fraction form
    124,435/192,153 = 192,153/x
  3. Step 3: Cross multiply
    124,435x = 192,153 × 192,153
  4. Step 4: Simplify right side
    124,435x = 36,922,775,409
  5. Step 5: Solve for x
    x = 36,922,775,409/124,435
  6. Step 6: Final answer
    x = 296,723.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.