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Finding the Third Proportional to 86,092.50 and 182,445

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Solution

The third proportional to 86,092.50 and 182,445 is: 386,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,092.50 : 182,445 = 182,445 : x
  2. Step 2: Convert to fraction form
    86,092.50/182,445 = 182,445/x
  3. Step 3: Cross multiply
    86,092.50x = 182,445 × 182,445
  4. Step 4: Simplify right side
    86,092.50x = 33,286,178,025
  5. Step 5: Solve for x
    x = 33,286,178,025/86,092.50
  6. Step 6: Final answer
    x = 386,632.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.