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Finding the Third Proportional to 66,164 and 94,326

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Solution

The third proportional to 66,164 and 94,326 is: 134,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,164 : 94,326 = 94,326 : x
  2. Step 2: Convert to fraction form
    66,164/94,326 = 94,326/x
  3. Step 3: Cross multiply
    66,164x = 94,326 × 94,326
  4. Step 4: Simplify right side
    66,164x = 8,897,394,276
  5. Step 5: Solve for x
    x = 8,897,394,276/66,164
  6. Step 6: Final answer
    x = 134,474.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.