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Finding the Third Proportional to 86,022 and 130,326

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Solution

The third proportional to 86,022 and 130,326 is: 197,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,022 : 130,326 = 130,326 : x
  2. Step 2: Convert to fraction form
    86,022/130,326 = 130,326/x
  3. Step 3: Cross multiply
    86,022x = 130,326 × 130,326
  4. Step 4: Simplify right side
    86,022x = 16,984,866,276
  5. Step 5: Solve for x
    x = 16,984,866,276/86,022
  6. Step 6: Final answer
    x = 197,447.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.