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Finding the Third Proportional to 64,632 and 141,268

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Solution

The third proportional to 64,632 and 141,268 is: 308,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,632 : 141,268 = 141,268 : x
  2. Step 2: Convert to fraction form
    64,632/141,268 = 141,268/x
  3. Step 3: Cross multiply
    64,632x = 141,268 × 141,268
  4. Step 4: Simplify right side
    64,632x = 19,956,647,824
  5. Step 5: Solve for x
    x = 19,956,647,824/64,632
  6. Step 6: Final answer
    x = 308,773.48

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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.