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Finding the Third Proportional to 51,810.50 and 92,958

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Solution

The third proportional to 51,810.50 and 92,958 is: 166,784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,810.50 : 92,958 = 92,958 : x
  2. Step 2: Convert to fraction form
    51,810.50/92,958 = 92,958/x
  3. Step 3: Cross multiply
    51,810.50x = 92,958 × 92,958
  4. Step 4: Simplify right side
    51,810.50x = 8,641,189,764
  5. Step 5: Solve for x
    x = 8,641,189,764/51,810.50
  6. Step 6: Final answer
    x = 166,784.53

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.