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Finding the Third Proportional to 100,000.50 and 146,052

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Solution

The third proportional to 100,000.50 and 146,052 is: 213,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,000.50 : 146,052 = 146,052 : x
  2. Step 2: Convert to fraction form
    100,000.50/146,052 = 146,052/x
  3. Step 3: Cross multiply
    100,000.50x = 146,052 × 146,052
  4. Step 4: Simplify right side
    100,000.50x = 21,331,186,704
  5. Step 5: Solve for x
    x = 21,331,186,704/100,000.50
  6. Step 6: Final answer
    x = 213,310.80

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.