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Finding the Third Proportional to 70,823.25 and 152,171.25

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Solution

The third proportional to 70,823.25 and 152,171.25 is: 326,956.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,823.25 : 152,171.25 = 152,171.25 : x
  2. Step 2: Convert to fraction form
    70,823.25/152,171.25 = 152,171.25/x
  3. Step 3: Cross multiply
    70,823.25x = 152,171.25 × 152,171.25
  4. Step 4: Simplify right side
    70,823.25x = 23,156,089,326.56
  5. Step 5: Solve for x
    x = 23,156,089,326.56/70,823.25
  6. Step 6: Final answer
    x = 326,956.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.