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Finding the Third Proportional to 112,425 and 239,415.75

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Solution

The third proportional to 112,425 and 239,415.75 is: 509,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,425 : 239,415.75 = 239,415.75 : x
  2. Step 2: Convert to fraction form
    112,425/239,415.75 = 239,415.75/x
  3. Step 3: Cross multiply
    112,425x = 239,415.75 × 239,415.75
  4. Step 4: Simplify right side
    112,425x = 57,319,901,348.06
  5. Step 5: Solve for x
    x = 57,319,901,348.06/112,425
  6. Step 6: Final answer
    x = 509,850.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.