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Finding the Third Proportional to 51,241.22 and 112,570.59

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Solution

The third proportional to 51,241.22 and 112,570.59 is: 247,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,241.22 : 112,570.59 = 112,570.59 : x
  2. Step 2: Convert to fraction form
    51,241.22/112,570.59 = 112,570.59/x
  3. Step 3: Cross multiply
    51,241.22x = 112,570.59 × 112,570.59
  4. Step 4: Simplify right side
    51,241.22x = 12,672,138,577.23
  5. Step 5: Solve for x
    x = 12,672,138,577.23/51,241.22
  6. Step 6: Final answer
    x = 247,303.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.