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Finding the Third Proportional to 76,376 and 115,404

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Solution

The third proportional to 76,376 and 115,404 is: 174,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,376 : 115,404 = 115,404 : x
  2. Step 2: Convert to fraction form
    76,376/115,404 = 115,404/x
  3. Step 3: Cross multiply
    76,376x = 115,404 × 115,404
  4. Step 4: Simplify right side
    76,376x = 13,318,083,216
  5. Step 5: Solve for x
    x = 13,318,083,216/76,376
  6. Step 6: Final answer
    x = 174,375.24

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