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Finding the Third Proportional to 63,686 and 95,043

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Solution

The third proportional to 63,686 and 95,043 is: 141,839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,686 : 95,043 = 95,043 : x
  2. Step 2: Convert to fraction form
    63,686/95,043 = 95,043/x
  3. Step 3: Cross multiply
    63,686x = 95,043 × 95,043
  4. Step 4: Simplify right side
    63,686x = 9,033,171,849
  5. Step 5: Solve for x
    x = 9,033,171,849/63,686
  6. Step 6: Final answer
    x = 141,839.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.