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Finding the Third Proportional to 52,043 and 113,515

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Solution

The third proportional to 52,043 and 113,515 is: 247,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,043 : 113,515 = 113,515 : x
  2. Step 2: Convert to fraction form
    52,043/113,515 = 113,515/x
  3. Step 3: Cross multiply
    52,043x = 113,515 × 113,515
  4. Step 4: Simplify right side
    52,043x = 12,885,655,225
  5. Step 5: Solve for x
    x = 12,885,655,225/52,043
  6. Step 6: Final answer
    x = 247,596.32

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Why These Related Problems?

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