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Finding the Third Proportional to 86,033 and 188,671

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Solution

The third proportional to 86,033 and 188,671 is: 413,756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,033 : 188,671 = 188,671 : x
  2. Step 2: Convert to fraction form
    86,033/188,671 = 188,671/x
  3. Step 3: Cross multiply
    86,033x = 188,671 × 188,671
  4. Step 4: Simplify right side
    86,033x = 35,596,746,241
  5. Step 5: Solve for x
    x = 35,596,746,241/86,033
  6. Step 6: Final answer
    x = 413,756.89

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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.