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Finding the Third Proportional to 53,751 and 72,969

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Solution

The third proportional to 53,751 and 72,969 is: 99,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,751 : 72,969 = 72,969 : x
  2. Step 2: Convert to fraction form
    53,751/72,969 = 72,969/x
  3. Step 3: Cross multiply
    53,751x = 72,969 × 72,969
  4. Step 4: Simplify right side
    53,751x = 5,324,474,961
  5. Step 5: Solve for x
    x = 5,324,474,961/53,751
  6. Step 6: Final answer
    x = 99,058.16

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.