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Finding the Third Proportional to 39,157 and 85,968.50

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Solution

The third proportional to 39,157 and 85,968.50 is: 188,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,157 : 85,968.50 = 85,968.50 : x
  2. Step 2: Convert to fraction form
    39,157/85,968.50 = 85,968.50/x
  3. Step 3: Cross multiply
    39,157x = 85,968.50 × 85,968.50
  4. Step 4: Simplify right side
    39,157x = 7,390,582,992.25
  5. Step 5: Solve for x
    x = 7,390,582,992.25/39,157
  6. Step 6: Final answer
    x = 188,742.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.