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Finding the Third Proportional to 76,504 and 116,376

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Solution

The third proportional to 76,504 and 116,376 is: 177,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,504 : 116,376 = 116,376 : x
  2. Step 2: Convert to fraction form
    76,504/116,376 = 116,376/x
  3. Step 3: Cross multiply
    76,504x = 116,376 × 116,376
  4. Step 4: Simplify right side
    76,504x = 13,543,373,376
  5. Step 5: Solve for x
    x = 13,543,373,376/76,504
  6. Step 6: Final answer
    x = 177,028.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.