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Finding the Third Proportional to 65,698.50 and 143,994

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Solution

The third proportional to 65,698.50 and 143,994 is: 315,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,698.50 : 143,994 = 143,994 : x
  2. Step 2: Convert to fraction form
    65,698.50/143,994 = 143,994/x
  3. Step 3: Cross multiply
    65,698.50x = 143,994 × 143,994
  4. Step 4: Simplify right side
    65,698.50x = 20,734,272,036
  5. Step 5: Solve for x
    x = 20,734,272,036/65,698.50
  6. Step 6: Final answer
    x = 315,597.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.