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Finding the Third Proportional to 51,065.25 and 112,208.25

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Solution

The third proportional to 51,065.25 and 112,208.25 is: 246,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,065.25 : 112,208.25 = 112,208.25 : x
  2. Step 2: Convert to fraction form
    51,065.25/112,208.25 = 112,208.25/x
  3. Step 3: Cross multiply
    51,065.25x = 112,208.25 × 112,208.25
  4. Step 4: Simplify right side
    51,065.25x = 12,590,691,368.06
  5. Step 5: Solve for x
    x = 12,590,691,368.06/51,065.25
  6. Step 6: Final answer
    x = 246,560.85

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Why These Related Problems?

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