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Finding the Third Proportional to 53,436 and 75,954

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Solution

The third proportional to 53,436 and 75,954 is: 107,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,436 : 75,954 = 75,954 : x
  2. Step 2: Convert to fraction form
    53,436/75,954 = 75,954/x
  3. Step 3: Cross multiply
    53,436x = 75,954 × 75,954
  4. Step 4: Simplify right side
    53,436x = 5,769,010,116
  5. Step 5: Solve for x
    x = 5,769,010,116/53,436
  6. Step 6: Final answer
    x = 107,961.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.