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Finding the Third Proportional to 65,992 and 146,708

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Solution

The third proportional to 65,992 and 146,708 is: 326,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,992 : 146,708 = 146,708 : x
  2. Step 2: Convert to fraction form
    65,992/146,708 = 146,708/x
  3. Step 3: Cross multiply
    65,992x = 146,708 × 146,708
  4. Step 4: Simplify right side
    65,992x = 21,523,237,264
  5. Step 5: Solve for x
    x = 21,523,237,264/65,992
  6. Step 6: Final answer
    x = 326,149.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.