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Finding the Third Proportional to 55,793 and 78,037

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Solution

The third proportional to 55,793 and 78,037 is: 109,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,793 : 78,037 = 78,037 : x
  2. Step 2: Convert to fraction form
    55,793/78,037 = 78,037/x
  3. Step 3: Cross multiply
    55,793x = 78,037 × 78,037
  4. Step 4: Simplify right side
    55,793x = 6,089,773,369
  5. Step 5: Solve for x
    x = 6,089,773,369/55,793
  6. Step 6: Final answer
    x = 109,149.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.