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Finding the Third Proportional to 94,348.50 and 151,500

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Solution

The third proportional to 94,348.50 and 151,500 is: 243,270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,348.50 : 151,500 = 151,500 : x
  2. Step 2: Convert to fraction form
    94,348.50/151,500 = 151,500/x
  3. Step 3: Cross multiply
    94,348.50x = 151,500 × 151,500
  4. Step 4: Simplify right side
    94,348.50x = 22,952,250,000
  5. Step 5: Solve for x
    x = 22,952,250,000/94,348.50
  6. Step 6: Final answer
    x = 243,270.96

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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.