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Finding the Third Proportional to 64,986 and 141,716

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Solution

The third proportional to 64,986 and 141,716 is: 309,042.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,986 : 141,716 = 141,716 : x
  2. Step 2: Convert to fraction form
    64,986/141,716 = 141,716/x
  3. Step 3: Cross multiply
    64,986x = 141,716 × 141,716
  4. Step 4: Simplify right side
    64,986x = 20,083,424,656
  5. Step 5: Solve for x
    x = 20,083,424,656/64,986
  6. Step 6: Final answer
    x = 309,042.33

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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.