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Finding the Third Proportional to 65,021 and 141,949

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Solution

The third proportional to 65,021 and 141,949 is: 309,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,021 : 141,949 = 141,949 : x
  2. Step 2: Convert to fraction form
    65,021/141,949 = 141,949/x
  3. Step 3: Cross multiply
    65,021x = 141,949 × 141,949
  4. Step 4: Simplify right side
    65,021x = 20,149,518,601
  5. Step 5: Solve for x
    x = 20,149,518,601/65,021
  6. Step 6: Final answer
    x = 309,892.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.