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Finding the Third Proportional to 27,771.75 and 60,158.25

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Solution

The third proportional to 27,771.75 and 60,158.25 is: 130,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.75 : 60,158.25 = 60,158.25 : x
  2. Step 2: Convert to fraction form
    27,771.75/60,158.25 = 60,158.25/x
  3. Step 3: Cross multiply
    27,771.75x = 60,158.25 × 60,158.25
  4. Step 4: Simplify right side
    27,771.75x = 3,619,015,043.06
  5. Step 5: Solve for x
    x = 3,619,015,043.06/27,771.75
  6. Step 6: Final answer
    x = 130,312.82

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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.