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Finding the Third Proportional to 66,154 and 96,311

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Solution

The third proportional to 66,154 and 96,311 is: 140,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,154 : 96,311 = 96,311 : x
  2. Step 2: Convert to fraction form
    66,154/96,311 = 96,311/x
  3. Step 3: Cross multiply
    66,154x = 96,311 × 96,311
  4. Step 4: Simplify right side
    66,154x = 9,275,808,721
  5. Step 5: Solve for x
    x = 9,275,808,721/66,154
  6. Step 6: Final answer
    x = 140,215.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.