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Finding the Third Proportional to 65,457 and 140,934

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Solution

The third proportional to 65,457 and 140,934 is: 303,441.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,457 : 140,934 = 140,934 : x
  2. Step 2: Convert to fraction form
    65,457/140,934 = 140,934/x
  3. Step 3: Cross multiply
    65,457x = 140,934 × 140,934
  4. Step 4: Simplify right side
    65,457x = 19,862,392,356
  5. Step 5: Solve for x
    x = 19,862,392,356/65,457
  6. Step 6: Final answer
    x = 303,441.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.