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Finding the Third Proportional to 76,954 and 118,124

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Solution

The third proportional to 76,954 and 118,124 is: 181,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,954 : 118,124 = 118,124 : x
  2. Step 2: Convert to fraction form
    76,954/118,124 = 118,124/x
  3. Step 3: Cross multiply
    76,954x = 118,124 × 118,124
  4. Step 4: Simplify right side
    76,954x = 13,953,279,376
  5. Step 5: Solve for x
    x = 13,953,279,376/76,954
  6. Step 6: Final answer
    x = 181,319.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.