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Finding the Third Proportional to 85,014 and 180,117

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Solution

The third proportional to 85,014 and 180,117 is: 381,609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,014 : 180,117 = 180,117 : x
  2. Step 2: Convert to fraction form
    85,014/180,117 = 180,117/x
  3. Step 3: Cross multiply
    85,014x = 180,117 × 180,117
  4. Step 4: Simplify right side
    85,014x = 32,442,133,689
  5. Step 5: Solve for x
    x = 32,442,133,689/85,014
  6. Step 6: Final answer
    x = 381,609.31

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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.