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Finding the Third Proportional to 57,044 and 75,704

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Solution

The third proportional to 57,044 and 75,704 is: 100,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,044 : 75,704 = 75,704 : x
  2. Step 2: Convert to fraction form
    57,044/75,704 = 75,704/x
  3. Step 3: Cross multiply
    57,044x = 75,704 × 75,704
  4. Step 4: Simplify right side
    57,044x = 5,731,095,616
  5. Step 5: Solve for x
    x = 5,731,095,616/57,044
  6. Step 6: Final answer
    x = 100,467.98

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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.