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Finding the Third Proportional to 76,923 and 116,409

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Solution

The third proportional to 76,923 and 116,409 is: 176,163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,923 : 116,409 = 116,409 : x
  2. Step 2: Convert to fraction form
    76,923/116,409 = 116,409/x
  3. Step 3: Cross multiply
    76,923x = 116,409 × 116,409
  4. Step 4: Simplify right side
    76,923x = 13,551,055,281
  5. Step 5: Solve for x
    x = 13,551,055,281/76,923
  6. Step 6: Final answer
    x = 176,163.89

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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.