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Finding the Third Proportional to 42,072 and 58,500

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Solution

The third proportional to 42,072 and 58,500 is: 81,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,072 : 58,500 = 58,500 : x
  2. Step 2: Convert to fraction form
    42,072/58,500 = 58,500/x
  3. Step 3: Cross multiply
    42,072x = 58,500 × 58,500
  4. Step 4: Simplify right side
    42,072x = 3,422,250,000
  5. Step 5: Solve for x
    x = 3,422,250,000/42,072
  6. Step 6: Final answer
    x = 81,342.70

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.