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Finding the Third Proportional to 75,716.75 and 163,971.75

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Solution

The third proportional to 75,716.75 and 163,971.75 is: 355,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,716.75 : 163,971.75 = 163,971.75 : x
  2. Step 2: Convert to fraction form
    75,716.75/163,971.75 = 163,971.75/x
  3. Step 3: Cross multiply
    75,716.75x = 163,971.75 × 163,971.75
  4. Step 4: Simplify right side
    75,716.75x = 26,886,734,798.06
  5. Step 5: Solve for x
    x = 26,886,734,798.06/75,716.75
  6. Step 6: Final answer
    x = 355,096.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.