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Finding the Third Proportional to 53,252 and 72,100

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Solution

The third proportional to 53,252 and 72,100 is: 97,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,252 : 72,100 = 72,100 : x
  2. Step 2: Convert to fraction form
    53,252/72,100 = 72,100/x
  3. Step 3: Cross multiply
    53,252x = 72,100 × 72,100
  4. Step 4: Simplify right side
    53,252x = 5,198,410,000
  5. Step 5: Solve for x
    x = 5,198,410,000/53,252
  6. Step 6: Final answer
    x = 97,619.06

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.