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Finding the Third Proportional to 76,353 and 115,367

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Solution

The third proportional to 76,353 and 115,367 is: 174,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,353 : 115,367 = 115,367 : x
  2. Step 2: Convert to fraction form
    76,353/115,367 = 115,367/x
  3. Step 3: Cross multiply
    76,353x = 115,367 × 115,367
  4. Step 4: Simplify right side
    76,353x = 13,309,544,689
  5. Step 5: Solve for x
    x = 13,309,544,689/76,353
  6. Step 6: Final answer
    x = 174,315.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.