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Finding the Third Proportional to 124,731 and 192,017.25

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Solution

The third proportional to 124,731 and 192,017.25 is: 295,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,731 : 192,017.25 = 192,017.25 : x
  2. Step 2: Convert to fraction form
    124,731/192,017.25 = 192,017.25/x
  3. Step 3: Cross multiply
    124,731x = 192,017.25 × 192,017.25
  4. Step 4: Simplify right side
    124,731x = 36,870,624,297.56
  5. Step 5: Solve for x
    x = 36,870,624,297.56/124,731
  6. Step 6: Final answer
    x = 295,601.13

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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.