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Finding the Third Proportional to 90,722 and 128,982

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Solution

The third proportional to 90,722 and 128,982 is: 183,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,722 : 128,982 = 128,982 : x
  2. Step 2: Convert to fraction form
    90,722/128,982 = 128,982/x
  3. Step 3: Cross multiply
    90,722x = 128,982 × 128,982
  4. Step 4: Simplify right side
    90,722x = 16,636,356,324
  5. Step 5: Solve for x
    x = 16,636,356,324/90,722
  6. Step 6: Final answer
    x = 183,377.31

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.