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Finding the Third Proportional to 57,057 and 75,726

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Solution

The third proportional to 57,057 and 75,726 is: 100,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057 : 75,726 = 75,726 : x
  2. Step 2: Convert to fraction form
    57,057/75,726 = 75,726/x
  3. Step 3: Cross multiply
    57,057x = 75,726 × 75,726
  4. Step 4: Simplify right side
    57,057x = 5,734,427,076
  5. Step 5: Solve for x
    x = 5,734,427,076/57,057
  6. Step 6: Final answer
    x = 100,503.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.