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Finding the Third Proportional to 50,992.50 and 112,555.50

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Solution

The third proportional to 50,992.50 and 112,555.50 is: 248,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,992.50 : 112,555.50 = 112,555.50 : x
  2. Step 2: Convert to fraction form
    50,992.50/112,555.50 = 112,555.50/x
  3. Step 3: Cross multiply
    50,992.50x = 112,555.50 × 112,555.50
  4. Step 4: Simplify right side
    50,992.50x = 12,668,740,580.25
  5. Step 5: Solve for x
    x = 12,668,740,580.25/50,992.50
  6. Step 6: Final answer
    x = 248,443.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.