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Finding the Third Proportional to 64,397 and 140,992

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Solution

The third proportional to 64,397 and 140,992 is: 308,690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,397 : 140,992 = 140,992 : x
  2. Step 2: Convert to fraction form
    64,397/140,992 = 140,992/x
  3. Step 3: Cross multiply
    64,397x = 140,992 × 140,992
  4. Step 4: Simplify right side
    64,397x = 19,878,744,064
  5. Step 5: Solve for x
    x = 19,878,744,064/64,397
  6. Step 6: Final answer
    x = 308,690.53

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