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Finding the Third Proportional to 52,999 and 74,279

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Solution

The third proportional to 52,999 and 74,279 is: 104,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,999 : 74,279 = 74,279 : x
  2. Step 2: Convert to fraction form
    52,999/74,279 = 74,279/x
  3. Step 3: Cross multiply
    52,999x = 74,279 × 74,279
  4. Step 4: Simplify right side
    52,999x = 5,517,369,841
  5. Step 5: Solve for x
    x = 5,517,369,841/52,999
  6. Step 6: Final answer
    x = 104,103.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.