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Finding the Third Proportional to 49,233.66 and 72,300.09

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Solution

The third proportional to 49,233.66 and 72,300.09 is: 106,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,233.66 : 72,300.09 = 72,300.09 : x
  2. Step 2: Convert to fraction form
    49,233.66/72,300.09 = 72,300.09/x
  3. Step 3: Cross multiply
    49,233.66x = 72,300.09 × 72,300.09
  4. Step 4: Simplify right side
    49,233.66x = 5,227,303,556.26
  5. Step 5: Solve for x
    x = 5,227,303,556.26/49,233.66
  6. Step 6: Final answer
    x = 106,173.38

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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.