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Finding the Third Proportional to 64,686 and 141,394

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Solution

The third proportional to 64,686 and 141,394 is: 309,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,686 : 141,394 = 141,394 : x
  2. Step 2: Convert to fraction form
    64,686/141,394 = 141,394/x
  3. Step 3: Cross multiply
    64,686x = 141,394 × 141,394
  4. Step 4: Simplify right side
    64,686x = 19,992,263,236
  5. Step 5: Solve for x
    x = 19,992,263,236/64,686
  6. Step 6: Final answer
    x = 309,066.31

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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.