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Finding the Third Proportional to 115,692 and 174,994

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Solution

The third proportional to 115,692 and 174,994 is: 264,693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,692 : 174,994 = 174,994 : x
  2. Step 2: Convert to fraction form
    115,692/174,994 = 174,994/x
  3. Step 3: Cross multiply
    115,692x = 174,994 × 174,994
  4. Step 4: Simplify right side
    115,692x = 30,622,900,036
  5. Step 5: Solve for x
    x = 30,622,900,036/115,692
  6. Step 6: Final answer
    x = 264,693.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.