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Finding the Third Proportional to 85,029.75 and 186,171.75

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Solution

The third proportional to 85,029.75 and 186,171.75 is: 407,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,029.75 : 186,171.75 = 186,171.75 : x
  2. Step 2: Convert to fraction form
    85,029.75/186,171.75 = 186,171.75/x
  3. Step 3: Cross multiply
    85,029.75x = 186,171.75 × 186,171.75
  4. Step 4: Simplify right side
    85,029.75x = 34,659,920,498.06
  5. Step 5: Solve for x
    x = 34,659,920,498.06/85,029.75
  6. Step 6: Final answer
    x = 407,621.10

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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.