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Finding the Third Proportional to 70,275.75 and 111,770.25

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Solution

The third proportional to 70,275.75 and 111,770.25 is: 177,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,275.75 : 111,770.25 = 111,770.25 : x
  2. Step 2: Convert to fraction form
    70,275.75/111,770.25 = 111,770.25/x
  3. Step 3: Cross multiply
    70,275.75x = 111,770.25 × 111,770.25
  4. Step 4: Simplify right side
    70,275.75x = 12,492,588,785.06
  5. Step 5: Solve for x
    x = 12,492,588,785.06/70,275.75
  6. Step 6: Final answer
    x = 177,765.29

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.