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Finding the Third Proportional to 55,728 and 86,326

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Solution

The third proportional to 55,728 and 86,326 is: 133,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,728 : 86,326 = 86,326 : x
  2. Step 2: Convert to fraction form
    55,728/86,326 = 86,326/x
  3. Step 3: Cross multiply
    55,728x = 86,326 × 86,326
  4. Step 4: Simplify right side
    55,728x = 7,452,178,276
  5. Step 5: Solve for x
    x = 7,452,178,276/55,728
  6. Step 6: Final answer
    x = 133,724.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.