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Finding the Third Proportional to 76,323 and 111,019.50

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Solution

The third proportional to 76,323 and 111,019.50 is: 161,489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,323 : 111,019.50 = 111,019.50 : x
  2. Step 2: Convert to fraction form
    76,323/111,019.50 = 111,019.50/x
  3. Step 3: Cross multiply
    76,323x = 111,019.50 × 111,019.50
  4. Step 4: Simplify right side
    76,323x = 12,325,329,380.25
  5. Step 5: Solve for x
    x = 12,325,329,380.25/76,323
  6. Step 6: Final answer
    x = 161,489.06

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.