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Finding the Third Proportional to 72,316.50 and 157,072.50

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Solution

The third proportional to 72,316.50 and 157,072.50 is: 341,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,316.50 : 157,072.50 = 157,072.50 : x
  2. Step 2: Convert to fraction form
    72,316.50/157,072.50 = 157,072.50/x
  3. Step 3: Cross multiply
    72,316.50x = 157,072.50 × 157,072.50
  4. Step 4: Simplify right side
    72,316.50x = 24,671,770,256.25
  5. Step 5: Solve for x
    x = 24,671,770,256.25/72,316.50
  6. Step 6: Final answer
    x = 341,163.78

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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.