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Finding the Third Proportional to 90,226 and 182,639

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Solution

The third proportional to 90,226 and 182,639 is: 369,705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,226 : 182,639 = 182,639 : x
  2. Step 2: Convert to fraction form
    90,226/182,639 = 182,639/x
  3. Step 3: Cross multiply
    90,226x = 182,639 × 182,639
  4. Step 4: Simplify right side
    90,226x = 33,357,004,321
  5. Step 5: Solve for x
    x = 33,357,004,321/90,226
  6. Step 6: Final answer
    x = 369,705.01

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.