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Finding the Third Proportional to 73,512 and 116,829

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Solution

The third proportional to 73,512 and 116,829 is: 185,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,512 : 116,829 = 116,829 : x
  2. Step 2: Convert to fraction form
    73,512/116,829 = 116,829/x
  3. Step 3: Cross multiply
    73,512x = 116,829 × 116,829
  4. Step 4: Simplify right side
    73,512x = 13,649,015,241
  5. Step 5: Solve for x
    x = 13,649,015,241/73,512
  6. Step 6: Final answer
    x = 185,670.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.