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Finding the Third Proportional to 60,326 and 131,827

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Solution

The third proportional to 60,326 and 131,827 is: 288,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,326 : 131,827 = 131,827 : x
  2. Step 2: Convert to fraction form
    60,326/131,827 = 131,827/x
  3. Step 3: Cross multiply
    60,326x = 131,827 × 131,827
  4. Step 4: Simplify right side
    60,326x = 17,378,357,929
  5. Step 5: Solve for x
    x = 17,378,357,929/60,326
  6. Step 6: Final answer
    x = 288,074.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.