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Finding the Third Proportional to 52,409 and 74,086

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Solution

The third proportional to 52,409 and 74,086 is: 104,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,409 : 74,086 = 74,086 : x
  2. Step 2: Convert to fraction form
    52,409/74,086 = 74,086/x
  3. Step 3: Cross multiply
    52,409x = 74,086 × 74,086
  4. Step 4: Simplify right side
    52,409x = 5,488,735,396
  5. Step 5: Solve for x
    x = 5,488,735,396/52,409
  6. Step 6: Final answer
    x = 104,728.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.