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Finding the Third Proportional to 65,126 and 141,916

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Solution

The third proportional to 65,126 and 141,916 is: 309,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,126 : 141,916 = 141,916 : x
  2. Step 2: Convert to fraction form
    65,126/141,916 = 141,916/x
  3. Step 3: Cross multiply
    65,126x = 141,916 × 141,916
  4. Step 4: Simplify right side
    65,126x = 20,140,151,056
  5. Step 5: Solve for x
    x = 20,140,151,056/65,126
  6. Step 6: Final answer
    x = 309,249.01

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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.