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Finding the Third Proportional to 66,096 and 101,331

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Solution

The third proportional to 66,096 and 101,331 is: 155,349.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,096 : 101,331 = 101,331 : x
  2. Step 2: Convert to fraction form
    66,096/101,331 = 101,331/x
  3. Step 3: Cross multiply
    66,096x = 101,331 × 101,331
  4. Step 4: Simplify right side
    66,096x = 10,267,971,561
  5. Step 5: Solve for x
    x = 10,267,971,561/66,096
  6. Step 6: Final answer
    x = 155,349.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.