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Finding the Third Proportional to 46,764.75 and 113,212.88

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Solution

The third proportional to 46,764.75 and 113,212.88 is: 274,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,764.75 : 113,212.88 = 113,212.88 : x
  2. Step 2: Convert to fraction form
    46,764.75/113,212.88 = 113,212.88/x
  3. Step 3: Cross multiply
    46,764.75x = 113,212.88 × 113,212.88
  4. Step 4: Simplify right side
    46,764.75x = 12,817,155,065.77
  5. Step 5: Solve for x
    x = 12,817,155,065.77/46,764.75
  6. Step 6: Final answer
    x = 274,077.27

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.