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Finding the Third Proportional to 64,968 and 142,086

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Solution

The third proportional to 64,968 and 142,086 is: 310,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,968 : 142,086 = 142,086 : x
  2. Step 2: Convert to fraction form
    64,968/142,086 = 142,086/x
  3. Step 3: Cross multiply
    64,968x = 142,086 × 142,086
  4. Step 4: Simplify right side
    64,968x = 20,188,431,396
  5. Step 5: Solve for x
    x = 20,188,431,396/64,968
  6. Step 6: Final answer
    x = 310,744.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.