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Finding the Third Proportional to 76,086 and 117,097

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Solution

The third proportional to 76,086 and 117,097 is: 180,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,086 : 117,097 = 117,097 : x
  2. Step 2: Convert to fraction form
    76,086/117,097 = 117,097/x
  3. Step 3: Cross multiply
    76,086x = 117,097 × 117,097
  4. Step 4: Simplify right side
    76,086x = 13,711,707,409
  5. Step 5: Solve for x
    x = 13,711,707,409/76,086
  6. Step 6: Final answer
    x = 180,213.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.