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Finding the Third Proportional to 71,982 and 107,986.50

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Solution

The third proportional to 71,982 and 107,986.50 is: 162,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,982 : 107,986.50 = 107,986.50 : x
  2. Step 2: Convert to fraction form
    71,982/107,986.50 = 107,986.50/x
  3. Step 3: Cross multiply
    71,982x = 107,986.50 × 107,986.50
  4. Step 4: Simplify right side
    71,982x = 11,661,084,182.25
  5. Step 5: Solve for x
    x = 11,661,084,182.25/71,982
  6. Step 6: Final answer
    x = 162,000.00

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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.