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Finding the Third Proportional to 62,226 and 140,863.50

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Solution

The third proportional to 62,226 and 140,863.50 is: 318,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,226 : 140,863.50 = 140,863.50 : x
  2. Step 2: Convert to fraction form
    62,226/140,863.50 = 140,863.50/x
  3. Step 3: Cross multiply
    62,226x = 140,863.50 × 140,863.50
  4. Step 4: Simplify right side
    62,226x = 19,842,525,632.25
  5. Step 5: Solve for x
    x = 19,842,525,632.25/62,226
  6. Step 6: Final answer
    x = 318,878.37

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.