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Finding the Third Proportional to 72,805.50 and 159,082.50

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Solution

The third proportional to 72,805.50 and 159,082.50 is: 347,600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,805.50 : 159,082.50 = 159,082.50 : x
  2. Step 2: Convert to fraction form
    72,805.50/159,082.50 = 159,082.50/x
  3. Step 3: Cross multiply
    72,805.50x = 159,082.50 × 159,082.50
  4. Step 4: Simplify right side
    72,805.50x = 25,307,241,806.25
  5. Step 5: Solve for x
    x = 25,307,241,806.25/72,805.50
  6. Step 6: Final answer
    x = 347,600.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.