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Finding the Third Proportional to 53,474 and 61,250

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Solution

The third proportional to 53,474 and 61,250 is: 70,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,474 : 61,250 = 61,250 : x
  2. Step 2: Convert to fraction form
    53,474/61,250 = 61,250/x
  3. Step 3: Cross multiply
    53,474x = 61,250 × 61,250
  4. Step 4: Simplify right side
    53,474x = 3,751,562,500
  5. Step 5: Solve for x
    x = 3,751,562,500/53,474
  6. Step 6: Final answer
    x = 70,156.76

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.