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Finding the Third Proportional to 60,531 and 100,036

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Solution

The third proportional to 60,531 and 100,036 is: 165,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,531 : 100,036 = 100,036 : x
  2. Step 2: Convert to fraction form
    60,531/100,036 = 100,036/x
  3. Step 3: Cross multiply
    60,531x = 100,036 × 100,036
  4. Step 4: Simplify right side
    60,531x = 10,007,201,296
  5. Step 5: Solve for x
    x = 10,007,201,296/60,531
  6. Step 6: Final answer
    x = 165,323.57

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.