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Finding the Third Proportional to 82,528.50 and 123,975

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Solution

The third proportional to 82,528.50 and 123,975 is: 186,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,528.50 : 123,975 = 123,975 : x
  2. Step 2: Convert to fraction form
    82,528.50/123,975 = 123,975/x
  3. Step 3: Cross multiply
    82,528.50x = 123,975 × 123,975
  4. Step 4: Simplify right side
    82,528.50x = 15,369,800,625
  5. Step 5: Solve for x
    x = 15,369,800,625/82,528.50
  6. Step 6: Final answer
    x = 186,236.28

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Why These Related Problems?

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