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Finding the Third Proportional to 52,148.81 and 113,911.31

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Solution

The third proportional to 52,148.81 and 113,911.31 is: 248,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,148.81 : 113,911.31 = 113,911.31 : x
  2. Step 2: Convert to fraction form
    52,148.81/113,911.31 = 113,911.31/x
  3. Step 3: Cross multiply
    52,148.81x = 113,911.31 × 113,911.31
  4. Step 4: Simplify right side
    52,148.81x = 12,975,787,115.47
  5. Step 5: Solve for x
    x = 12,975,787,115.47/52,148.81
  6. Step 6: Final answer
    x = 248,822.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.