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Finding the Third Proportional to 85,677 and 185,655

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Solution

The third proportional to 85,677 and 185,655 is: 402,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,677 : 185,655 = 185,655 : x
  2. Step 2: Convert to fraction form
    85,677/185,655 = 185,655/x
  3. Step 3: Cross multiply
    85,677x = 185,655 × 185,655
  4. Step 4: Simplify right side
    85,677x = 34,467,779,025
  5. Step 5: Solve for x
    x = 34,467,779,025/85,677
  6. Step 6: Final answer
    x = 402,299.09

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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.