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Finding the Third Proportional to 86,426 and 133,324

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Solution

The third proportional to 86,426 and 133,324 is: 205,670.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,426 : 133,324 = 133,324 : x
  2. Step 2: Convert to fraction form
    86,426/133,324 = 133,324/x
  3. Step 3: Cross multiply
    86,426x = 133,324 × 133,324
  4. Step 4: Simplify right side
    86,426x = 17,775,288,976
  5. Step 5: Solve for x
    x = 17,775,288,976/86,426
  6. Step 6: Final answer
    x = 205,670.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.