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Finding the Third Proportional to 51,985.75 and 113,043.25

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Solution

The third proportional to 51,985.75 and 113,043.25 is: 245,813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,985.75 : 113,043.25 = 113,043.25 : x
  2. Step 2: Convert to fraction form
    51,985.75/113,043.25 = 113,043.25/x
  3. Step 3: Cross multiply
    51,985.75x = 113,043.25 × 113,043.25
  4. Step 4: Simplify right side
    51,985.75x = 12,778,776,370.56
  5. Step 5: Solve for x
    x = 12,778,776,370.56/51,985.75
  6. Step 6: Final answer
    x = 245,813.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.