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Finding the Third Proportional to 85,114 and 180,988

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Solution

The third proportional to 85,114 and 180,988 is: 384,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,114 : 180,988 = 180,988 : x
  2. Step 2: Convert to fraction form
    85,114/180,988 = 180,988/x
  3. Step 3: Cross multiply
    85,114x = 180,988 × 180,988
  4. Step 4: Simplify right side
    85,114x = 32,756,656,144
  5. Step 5: Solve for x
    x = 32,756,656,144/85,114
  6. Step 6: Final answer
    x = 384,856.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.