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Finding the Third Proportional to 85,575 and 186,069

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Solution

The third proportional to 85,575 and 186,069 is: 404,576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,575 : 186,069 = 186,069 : x
  2. Step 2: Convert to fraction form
    85,575/186,069 = 186,069/x
  3. Step 3: Cross multiply
    85,575x = 186,069 × 186,069
  4. Step 4: Simplify right side
    85,575x = 34,621,672,761
  5. Step 5: Solve for x
    x = 34,621,672,761/85,575
  6. Step 6: Final answer
    x = 404,576.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.