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Finding the Third Proportional to 54,682.88 and 78,197.63

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Solution

The third proportional to 54,682.88 and 78,197.63 is: 111,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,682.88 : 78,197.63 = 78,197.63 : x
  2. Step 2: Convert to fraction form
    54,682.88/78,197.63 = 78,197.63/x
  3. Step 3: Cross multiply
    54,682.88x = 78,197.63 × 78,197.63
  4. Step 4: Simplify right side
    54,682.88x = 6,114,868,555.64
  5. Step 5: Solve for x
    x = 6,114,868,555.64/54,682.88
  6. Step 6: Final answer
    x = 111,824.20

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.