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Finding the Third Proportional to 76,061 and 118,390

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Solution

The third proportional to 76,061 and 118,390 is: 184,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,061 : 118,390 = 118,390 : x
  2. Step 2: Convert to fraction form
    76,061/118,390 = 118,390/x
  3. Step 3: Cross multiply
    76,061x = 118,390 × 118,390
  4. Step 4: Simplify right side
    76,061x = 14,016,192,100
  5. Step 5: Solve for x
    x = 14,016,192,100/76,061
  6. Step 6: Final answer
    x = 184,275.67

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.