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Finding the Third Proportional to 76,096 and 117,114

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Solution

The third proportional to 76,096 and 117,114 is: 180,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,096 : 117,114 = 117,114 : x
  2. Step 2: Convert to fraction form
    76,096/117,114 = 117,114/x
  3. Step 3: Cross multiply
    76,096x = 117,114 × 117,114
  4. Step 4: Simplify right side
    76,096x = 13,715,688,996
  5. Step 5: Solve for x
    x = 13,715,688,996/76,096
  6. Step 6: Final answer
    x = 180,241.92

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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.