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Finding the Third Proportional to 52,783.13 and 79,243.88

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Solution

The third proportional to 52,783.13 and 79,243.88 is: 118,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,783.13 : 79,243.88 = 79,243.88 : x
  2. Step 2: Convert to fraction form
    52,783.13/79,243.88 = 79,243.88/x
  3. Step 3: Cross multiply
    52,783.13x = 79,243.88 × 79,243.88
  4. Step 4: Simplify right side
    52,783.13x = 6,279,591,725.02
  5. Step 5: Solve for x
    x = 6,279,591,725.02/52,783.13
  6. Step 6: Final answer
    x = 118,969.68

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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.