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Finding the Third Proportional to 52,986 and 74,265

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Solution

The third proportional to 52,986 and 74,265 is: 104,089.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,986 : 74,265 = 74,265 : x
  2. Step 2: Convert to fraction form
    52,986/74,265 = 74,265/x
  3. Step 3: Cross multiply
    52,986x = 74,265 × 74,265
  4. Step 4: Simplify right side
    52,986x = 5,515,290,225
  5. Step 5: Solve for x
    x = 5,515,290,225/52,986
  6. Step 6: Final answer
    x = 104,089.58

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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.