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Finding the Third Proportional to 70,840.75 and 98,185.75

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Solution

The third proportional to 70,840.75 and 98,185.75 is: 136,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,840.75 : 98,185.75 = 98,185.75 : x
  2. Step 2: Convert to fraction form
    70,840.75/98,185.75 = 98,185.75/x
  3. Step 3: Cross multiply
    70,840.75x = 98,185.75 × 98,185.75
  4. Step 4: Simplify right side
    70,840.75x = 9,640,441,503.06
  5. Step 5: Solve for x
    x = 9,640,441,503.06/70,840.75
  6. Step 6: Final answer
    x = 136,086.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.