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Finding the Third Proportional to 52,401.94 and 113,106.38

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Solution

The third proportional to 52,401.94 and 113,106.38 is: 244,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,401.94 : 113,106.38 = 113,106.38 : x
  2. Step 2: Convert to fraction form
    52,401.94/113,106.38 = 113,106.38/x
  3. Step 3: Cross multiply
    52,401.94x = 113,106.38 × 113,106.38
  4. Step 4: Simplify right side
    52,401.94x = 12,793,052,065.64
  5. Step 5: Solve for x
    x = 12,793,052,065.64/52,401.94
  6. Step 6: Final answer
    x = 244,133.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.