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Finding the Third Proportional to 90,785 and 144,423

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Solution

The third proportional to 90,785 and 144,423 is: 229,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,785 : 144,423 = 144,423 : x
  2. Step 2: Convert to fraction form
    90,785/144,423 = 144,423/x
  3. Step 3: Cross multiply
    90,785x = 144,423 × 144,423
  4. Step 4: Simplify right side
    90,785x = 20,858,002,929
  5. Step 5: Solve for x
    x = 20,858,002,929/90,785
  6. Step 6: Final answer
    x = 229,751.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.