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Finding the Third Proportional to 86,348 and 116,668

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Solution

The third proportional to 86,348 and 116,668 is: 157,634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,348 : 116,668 = 116,668 : x
  2. Step 2: Convert to fraction form
    86,348/116,668 = 116,668/x
  3. Step 3: Cross multiply
    86,348x = 116,668 × 116,668
  4. Step 4: Simplify right side
    86,348x = 13,611,422,224
  5. Step 5: Solve for x
    x = 13,611,422,224/86,348
  6. Step 6: Final answer
    x = 157,634.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.