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Finding the Third Proportional to 90,705 and 136,406

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Solution

The third proportional to 90,705 and 136,406 is: 205,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,705 : 136,406 = 136,406 : x
  2. Step 2: Convert to fraction form
    90,705/136,406 = 136,406/x
  3. Step 3: Cross multiply
    90,705x = 136,406 × 136,406
  4. Step 4: Simplify right side
    90,705x = 18,606,596,836
  5. Step 5: Solve for x
    x = 18,606,596,836/90,705
  6. Step 6: Final answer
    x = 205,133.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.