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Finding the Third Proportional to 67,236 and 98,326

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Solution

The third proportional to 67,236 and 98,326 is: 143,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,236 : 98,326 = 98,326 : x
  2. Step 2: Convert to fraction form
    67,236/98,326 = 98,326/x
  3. Step 3: Cross multiply
    67,236x = 98,326 × 98,326
  4. Step 4: Simplify right side
    67,236x = 9,668,002,276
  5. Step 5: Solve for x
    x = 9,668,002,276/67,236
  6. Step 6: Final answer
    x = 143,792.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.