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Finding the Third Proportional to 51,971.63 and 113,268.38

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Solution

The third proportional to 51,971.63 and 113,268.38 is: 246,860.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,971.63 : 113,268.38 = 113,268.38 : x
  2. Step 2: Convert to fraction form
    51,971.63/113,268.38 = 113,268.38/x
  3. Step 3: Cross multiply
    51,971.63x = 113,268.38 × 113,268.38
  4. Step 4: Simplify right side
    51,971.63x = 12,829,724,775.14
  5. Step 5: Solve for x
    x = 12,829,724,775.14/51,971.63
  6. Step 6: Final answer
    x = 246,860.18

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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.