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Finding the Third Proportional to 90,616 and 132,954

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Solution

The third proportional to 90,616 and 132,954 is: 195,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,616 : 132,954 = 132,954 : x
  2. Step 2: Convert to fraction form
    90,616/132,954 = 132,954/x
  3. Step 3: Cross multiply
    90,616x = 132,954 × 132,954
  4. Step 4: Simplify right side
    90,616x = 17,676,766,116
  5. Step 5: Solve for x
    x = 17,676,766,116/90,616
  6. Step 6: Final answer
    x = 195,073.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.