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Finding the Third Proportional to 51,883 and 78,033

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Solution

The third proportional to 51,883 and 78,033 is: 117,363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,883 : 78,033 = 78,033 : x
  2. Step 2: Convert to fraction form
    51,883/78,033 = 78,033/x
  3. Step 3: Cross multiply
    51,883x = 78,033 × 78,033
  4. Step 4: Simplify right side
    51,883x = 6,089,149,089
  5. Step 5: Solve for x
    x = 6,089,149,089/51,883
  6. Step 6: Final answer
    x = 117,363.09

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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.