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Finding the Third Proportional to 85,001 and 186,310

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Solution

The third proportional to 85,001 and 186,310 is: 408,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,001 : 186,310 = 186,310 : x
  2. Step 2: Convert to fraction form
    85,001/186,310 = 186,310/x
  3. Step 3: Cross multiply
    85,001x = 186,310 × 186,310
  4. Step 4: Simplify right side
    85,001x = 34,711,416,100
  5. Step 5: Solve for x
    x = 34,711,416,100/85,001
  6. Step 6: Final answer
    x = 408,364.80

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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.