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Finding the Third Proportional to 85,706 and 185,668

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Solution

The third proportional to 85,706 and 185,668 is: 402,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,706 : 185,668 = 185,668 : x
  2. Step 2: Convert to fraction form
    85,706/185,668 = 185,668/x
  3. Step 3: Cross multiply
    85,706x = 185,668 × 185,668
  4. Step 4: Simplify right side
    85,706x = 34,472,606,224
  5. Step 5: Solve for x
    x = 34,472,606,224/85,706
  6. Step 6: Final answer
    x = 402,219.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.