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Finding the Third Proportional to 76,922 and 116,408

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Solution

The third proportional to 76,922 and 116,408 is: 176,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,922 : 116,408 = 116,408 : x
  2. Step 2: Convert to fraction form
    76,922/116,408 = 116,408/x
  3. Step 3: Cross multiply
    76,922x = 116,408 × 116,408
  4. Step 4: Simplify right side
    76,922x = 13,550,822,464
  5. Step 5: Solve for x
    x = 13,550,822,464/76,922
  6. Step 6: Final answer
    x = 176,163.16

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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.