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Finding the Third Proportional to 51,968.25 and 113,828.63

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Solution

The third proportional to 51,968.25 and 113,828.63 is: 249,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,968.25 : 113,828.63 = 113,828.63 : x
  2. Step 2: Convert to fraction form
    51,968.25/113,828.63 = 113,828.63/x
  3. Step 3: Cross multiply
    51,968.25x = 113,828.63 × 113,828.63
  4. Step 4: Simplify right side
    51,968.25x = 12,956,955,869.39
  5. Step 5: Solve for x
    x = 12,956,955,869.39/51,968.25
  6. Step 6: Final answer
    x = 249,324.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.