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Finding the Third Proportional to 66,975 and 101,323

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Solution

The third proportional to 66,975 and 101,323 is: 153,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,975 : 101,323 = 101,323 : x
  2. Step 2: Convert to fraction form
    66,975/101,323 = 101,323/x
  3. Step 3: Cross multiply
    66,975x = 101,323 × 101,323
  4. Step 4: Simplify right side
    66,975x = 10,266,350,329
  5. Step 5: Solve for x
    x = 10,266,350,329/66,975
  6. Step 6: Final answer
    x = 153,286.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.