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Finding the Third Proportional to 64,845 and 141,048

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Solution

The third proportional to 64,845 and 141,048 is: 306,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,845 : 141,048 = 141,048 : x
  2. Step 2: Convert to fraction form
    64,845/141,048 = 141,048/x
  3. Step 3: Cross multiply
    64,845x = 141,048 × 141,048
  4. Step 4: Simplify right side
    64,845x = 19,894,538,304
  5. Step 5: Solve for x
    x = 19,894,538,304/64,845
  6. Step 6: Final answer
    x = 306,801.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.