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Finding the Third Proportional to 72,958.50 and 157,005

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Solution

The third proportional to 72,958.50 and 157,005 is: 337,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,958.50 : 157,005 = 157,005 : x
  2. Step 2: Convert to fraction form
    72,958.50/157,005 = 157,005/x
  3. Step 3: Cross multiply
    72,958.50x = 157,005 × 157,005
  4. Step 4: Simplify right side
    72,958.50x = 24,650,570,025
  5. Step 5: Solve for x
    x = 24,650,570,025/72,958.50
  6. Step 6: Final answer
    x = 337,871.12

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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.