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Finding the Third Proportional to 61,954 and 90,326

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Solution

The third proportional to 61,954 and 90,326 is: 131,691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,954 : 90,326 = 90,326 : x
  2. Step 2: Convert to fraction form
    61,954/90,326 = 90,326/x
  3. Step 3: Cross multiply
    61,954x = 90,326 × 90,326
  4. Step 4: Simplify right side
    61,954x = 8,158,786,276
  5. Step 5: Solve for x
    x = 8,158,786,276/61,954
  6. Step 6: Final answer
    x = 131,691.03

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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.