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Finding the Third Proportional to 65,271 and 140,910

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Solution

The third proportional to 65,271 and 140,910 is: 304,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,271 : 140,910 = 140,910 : x
  2. Step 2: Convert to fraction form
    65,271/140,910 = 140,910/x
  3. Step 3: Cross multiply
    65,271x = 140,910 × 140,910
  4. Step 4: Simplify right side
    65,271x = 19,855,628,100
  5. Step 5: Solve for x
    x = 19,855,628,100/65,271
  6. Step 6: Final answer
    x = 304,202.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.