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Finding the Third Proportional to 90,822 and 134,937

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Solution

The third proportional to 90,822 and 134,937 is: 200,479.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,822 : 134,937 = 134,937 : x
  2. Step 2: Convert to fraction form
    90,822/134,937 = 134,937/x
  3. Step 3: Cross multiply
    90,822x = 134,937 × 134,937
  4. Step 4: Simplify right side
    90,822x = 18,207,993,969
  5. Step 5: Solve for x
    x = 18,207,993,969/90,822
  6. Step 6: Final answer
    x = 200,479.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.