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Finding the Third Proportional to 85,281 and 186,090

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Solution

The third proportional to 85,281 and 186,090 is: 406,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,281 : 186,090 = 186,090 : x
  2. Step 2: Convert to fraction form
    85,281/186,090 = 186,090/x
  3. Step 3: Cross multiply
    85,281x = 186,090 × 186,090
  4. Step 4: Simplify right side
    85,281x = 34,629,488,100
  5. Step 5: Solve for x
    x = 34,629,488,100/85,281
  6. Step 6: Final answer
    x = 406,063.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.