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Finding the Third Proportional to 56,946 and 91,500

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Solution

The third proportional to 56,946 and 91,500 is: 147,020.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,946 : 91,500 = 91,500 : x
  2. Step 2: Convert to fraction form
    56,946/91,500 = 91,500/x
  3. Step 3: Cross multiply
    56,946x = 91,500 × 91,500
  4. Step 4: Simplify right side
    56,946x = 8,372,250,000
  5. Step 5: Solve for x
    x = 8,372,250,000/56,946
  6. Step 6: Final answer
    x = 147,020.86

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.