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Finding the Third Proportional to 55,422 and 117,762.75

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Solution

The third proportional to 55,422 and 117,762.75 is: 250,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,422 : 117,762.75 = 117,762.75 : x
  2. Step 2: Convert to fraction form
    55,422/117,762.75 = 117,762.75/x
  3. Step 3: Cross multiply
    55,422x = 117,762.75 × 117,762.75
  4. Step 4: Simplify right side
    55,422x = 13,868,065,287.56
  5. Step 5: Solve for x
    x = 13,868,065,287.56/55,422
  6. Step 6: Final answer
    x = 250,226.72

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.