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Finding the Third Proportional to 70,686 and 104,730

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Solution

The third proportional to 70,686 and 104,730 is: 155,170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,686 : 104,730 = 104,730 : x
  2. Step 2: Convert to fraction form
    70,686/104,730 = 104,730/x
  3. Step 3: Cross multiply
    70,686x = 104,730 × 104,730
  4. Step 4: Simplify right side
    70,686x = 10,968,372,900
  5. Step 5: Solve for x
    x = 10,968,372,900/70,686
  6. Step 6: Final answer
    x = 155,170.37

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.