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Finding the Third Proportional to 65,017.69 and 141,942.38

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Solution

The third proportional to 65,017.69 and 141,942.38 is: 309,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,017.69 : 141,942.38 = 141,942.38 : x
  2. Step 2: Convert to fraction form
    65,017.69/141,942.38 = 141,942.38/x
  3. Step 3: Cross multiply
    65,017.69x = 141,942.38 × 141,942.38
  4. Step 4: Simplify right side
    65,017.69x = 20,147,637,820.64
  5. Step 5: Solve for x
    x = 20,147,637,820.64/65,017.69
  6. Step 6: Final answer
    x = 309,879.34

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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.