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Finding the Third Proportional to 82,915.50 and 181,012.50

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Solution

The third proportional to 82,915.50 and 181,012.50 is: 395,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,915.50 : 181,012.50 = 181,012.50 : x
  2. Step 2: Convert to fraction form
    82,915.50/181,012.50 = 181,012.50/x
  3. Step 3: Cross multiply
    82,915.50x = 181,012.50 × 181,012.50
  4. Step 4: Simplify right side
    82,915.50x = 32,765,525,156.25
  5. Step 5: Solve for x
    x = 32,765,525,156.25/82,915.50
  6. Step 6: Final answer
    x = 395,167.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.