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Finding the Third Proportional to 72,820.50 and 158,097

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Solution

The third proportional to 72,820.50 and 158,097 is: 343,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,820.50 : 158,097 = 158,097 : x
  2. Step 2: Convert to fraction form
    72,820.50/158,097 = 158,097/x
  3. Step 3: Cross multiply
    72,820.50x = 158,097 × 158,097
  4. Step 4: Simplify right side
    72,820.50x = 24,994,661,409
  5. Step 5: Solve for x
    x = 24,994,661,409/72,820.50
  6. Step 6: Final answer
    x = 343,236.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.