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Finding the Third Proportional to 52,436 and 83,069

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Solution

The third proportional to 52,436 and 83,069 is: 131,597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,436 : 83,069 = 83,069 : x
  2. Step 2: Convert to fraction form
    52,436/83,069 = 83,069/x
  3. Step 3: Cross multiply
    52,436x = 83,069 × 83,069
  4. Step 4: Simplify right side
    52,436x = 6,900,458,761
  5. Step 5: Solve for x
    x = 6,900,458,761/52,436
  6. Step 6: Final answer
    x = 131,597.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.