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Finding the Third Proportional to 75,835 and 116,167

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Solution

The third proportional to 75,835 and 116,167 is: 177,949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,835 : 116,167 = 116,167 : x
  2. Step 2: Convert to fraction form
    75,835/116,167 = 116,167/x
  3. Step 3: Cross multiply
    75,835x = 116,167 × 116,167
  4. Step 4: Simplify right side
    75,835x = 13,494,771,889
  5. Step 5: Solve for x
    x = 13,494,771,889/75,835
  6. Step 6: Final answer
    x = 177,949.12

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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.