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Finding the Third Proportional to 112,825.50 and 235,107

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Solution

The third proportional to 112,825.50 and 235,107 is: 489,918.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,825.50 : 235,107 = 235,107 : x
  2. Step 2: Convert to fraction form
    112,825.50/235,107 = 235,107/x
  3. Step 3: Cross multiply
    112,825.50x = 235,107 × 235,107
  4. Step 4: Simplify right side
    112,825.50x = 55,275,301,449
  5. Step 5: Solve for x
    x = 55,275,301,449/112,825.50
  6. Step 6: Final answer
    x = 489,918.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.