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Finding the Third Proportional to 85,171.50 and 91,975.50

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Solution

The third proportional to 85,171.50 and 91,975.50 is: 99,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,171.50 : 91,975.50 = 91,975.50 : x
  2. Step 2: Convert to fraction form
    85,171.50/91,975.50 = 91,975.50/x
  3. Step 3: Cross multiply
    85,171.50x = 91,975.50 × 91,975.50
  4. Step 4: Simplify right side
    85,171.50x = 8,459,492,600.25
  5. Step 5: Solve for x
    x = 8,459,492,600.25/85,171.50
  6. Step 6: Final answer
    x = 99,323.04

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.