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Finding the Third Proportional to 65,138 and 141,938

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Solution

The third proportional to 65,138 and 141,938 is: 309,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,138 : 141,938 = 141,938 : x
  2. Step 2: Convert to fraction form
    65,138/141,938 = 141,938/x
  3. Step 3: Cross multiply
    65,138x = 141,938 × 141,938
  4. Step 4: Simplify right side
    65,138x = 20,146,395,844
  5. Step 5: Solve for x
    x = 20,146,395,844/65,138
  6. Step 6: Final answer
    x = 309,287.91

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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.