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Finding the Third Proportional to 94,996.74 and 175,977.68

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Solution

The third proportional to 94,996.74 and 175,977.68 is: 325,991.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,996.74 : 175,977.68 = 175,977.68 : x
  2. Step 2: Convert to fraction form
    94,996.74/175,977.68 = 175,977.68/x
  3. Step 3: Cross multiply
    94,996.74x = 175,977.68 × 175,977.68
  4. Step 4: Simplify right side
    94,996.74x = 30,968,144,263.75
  5. Step 5: Solve for x
    x = 30,968,144,263.75/94,996.74
  6. Step 6: Final answer
    x = 325,991.64

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.