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Finding the Third Proportional to 65,986 and 142,388

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Solution

The third proportional to 65,986 and 142,388 is: 307,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,986 : 142,388 = 142,388 : x
  2. Step 2: Convert to fraction form
    65,986/142,388 = 142,388/x
  3. Step 3: Cross multiply
    65,986x = 142,388 × 142,388
  4. Step 4: Simplify right side
    65,986x = 20,274,342,544
  5. Step 5: Solve for x
    x = 20,274,342,544/65,986
  6. Step 6: Final answer
    x = 307,252.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.