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Finding the Third Proportional to 94,800 and 142,800

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Solution

The third proportional to 94,800 and 142,800 is: 215,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,800 : 142,800 = 142,800 : x
  2. Step 2: Convert to fraction form
    94,800/142,800 = 142,800/x
  3. Step 3: Cross multiply
    94,800x = 142,800 × 142,800
  4. Step 4: Simplify right side
    94,800x = 20,391,840,000
  5. Step 5: Solve for x
    x = 20,391,840,000/94,800
  6. Step 6: Final answer
    x = 215,103.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.