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Finding the Third Proportional to 40,296 and 75,516

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Solution

The third proportional to 40,296 and 75,516 is: 141,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,296 : 75,516 = 75,516 : x
  2. Step 2: Convert to fraction form
    40,296/75,516 = 75,516/x
  3. Step 3: Cross multiply
    40,296x = 75,516 × 75,516
  4. Step 4: Simplify right side
    40,296x = 5,702,666,256
  5. Step 5: Solve for x
    x = 5,702,666,256/40,296
  6. Step 6: Final answer
    x = 141,519.41

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.