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Finding the Third Proportional to 136,765 and 200,710

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Solution

The third proportional to 136,765 and 200,710 is: 294,552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,765 : 200,710 = 200,710 : x
  2. Step 2: Convert to fraction form
    136,765/200,710 = 200,710/x
  3. Step 3: Cross multiply
    136,765x = 200,710 × 200,710
  4. Step 4: Simplify right side
    136,765x = 40,284,504,100
  5. Step 5: Solve for x
    x = 40,284,504,100/136,765
  6. Step 6: Final answer
    x = 294,552.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.