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Finding the Third Proportional to 51,975 and 83,704.50

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Solution

The third proportional to 51,975 and 83,704.50 is: 134,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,975 : 83,704.50 = 83,704.50 : x
  2. Step 2: Convert to fraction form
    51,975/83,704.50 = 83,704.50/x
  3. Step 3: Cross multiply
    51,975x = 83,704.50 × 83,704.50
  4. Step 4: Simplify right side
    51,975x = 7,006,443,320.25
  5. Step 5: Solve for x
    x = 7,006,443,320.25/51,975
  6. Step 6: Final answer
    x = 134,804.10

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.