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Finding the Third Proportional to 101,860.50 and 152,982.75

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Solution

The third proportional to 101,860.50 and 152,982.75 is: 229,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,860.50 : 152,982.75 = 152,982.75 : x
  2. Step 2: Convert to fraction form
    101,860.50/152,982.75 = 152,982.75/x
  3. Step 3: Cross multiply
    101,860.50x = 152,982.75 × 152,982.75
  4. Step 4: Simplify right side
    101,860.50x = 23,403,721,797.56
  5. Step 5: Solve for x
    x = 23,403,721,797.56/101,860.50
  6. Step 6: Final answer
    x = 229,762.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.