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Finding the Third Proportional to 53,221.50 and 74,000.25

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Solution

The third proportional to 53,221.50 and 74,000.25 is: 102,891.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,221.50 : 74,000.25 = 74,000.25 : x
  2. Step 2: Convert to fraction form
    53,221.50/74,000.25 = 74,000.25/x
  3. Step 3: Cross multiply
    53,221.50x = 74,000.25 × 74,000.25
  4. Step 4: Simplify right side
    53,221.50x = 5,476,037,000.06
  5. Step 5: Solve for x
    x = 5,476,037,000.06/53,221.50
  6. Step 6: Final answer
    x = 102,891.44

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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.