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Finding the Third Proportional to 71,474.50 and 104,824

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Solution

The third proportional to 71,474.50 and 104,824 is: 153,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,474.50 : 104,824 = 104,824 : x
  2. Step 2: Convert to fraction form
    71,474.50/104,824 = 104,824/x
  3. Step 3: Cross multiply
    71,474.50x = 104,824 × 104,824
  4. Step 4: Simplify right side
    71,474.50x = 10,988,070,976
  5. Step 5: Solve for x
    x = 10,988,070,976/71,474.50
  6. Step 6: Final answer
    x = 153,734.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.