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Finding the Third Proportional to 86,055 and 185,706

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Solution

The third proportional to 86,055 and 185,706 is: 400,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,055 : 185,706 = 185,706 : x
  2. Step 2: Convert to fraction form
    86,055/185,706 = 185,706/x
  3. Step 3: Cross multiply
    86,055x = 185,706 × 185,706
  4. Step 4: Simplify right side
    86,055x = 34,486,718,436
  5. Step 5: Solve for x
    x = 34,486,718,436/86,055
  6. Step 6: Final answer
    x = 400,752.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.