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Finding the Third Proportional to 53,667 and 76,671

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Solution

The third proportional to 53,667 and 76,671 is: 109,535.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,667 : 76,671 = 76,671 : x
  2. Step 2: Convert to fraction form
    53,667/76,671 = 76,671/x
  3. Step 3: Cross multiply
    53,667x = 76,671 × 76,671
  4. Step 4: Simplify right side
    53,667x = 5,878,442,241
  5. Step 5: Solve for x
    x = 5,878,442,241/53,667
  6. Step 6: Final answer
    x = 109,535.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.