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Finding the Third Proportional to 66,468 and 102,165

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Solution

The third proportional to 66,468 and 102,165 is: 157,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,468 : 102,165 = 102,165 : x
  2. Step 2: Convert to fraction form
    66,468/102,165 = 102,165/x
  3. Step 3: Cross multiply
    66,468x = 102,165 × 102,165
  4. Step 4: Simplify right side
    66,468x = 10,437,687,225
  5. Step 5: Solve for x
    x = 10,437,687,225/66,468
  6. Step 6: Final answer
    x = 157,033.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.