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Finding the Third Proportional to 75,768 and 113,652

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Solution

The third proportional to 75,768 and 113,652 is: 170,478

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,768 : 113,652 = 113,652 : x
  2. Step 2: Convert to fraction form
    75,768/113,652 = 113,652/x
  3. Step 3: Cross multiply
    75,768x = 113,652 × 113,652
  4. Step 4: Simplify right side
    75,768x = 12,916,777,104
  5. Step 5: Solve for x
    x = 12,916,777,104/75,768
  6. Step 6: Final answer
    x = 170,478

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.