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Finding the Third Proportional to 85,047 and 185,400

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Solution

The third proportional to 85,047 and 185,400 is: 404,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,047 : 185,400 = 185,400 : x
  2. Step 2: Convert to fraction form
    85,047/185,400 = 185,400/x
  3. Step 3: Cross multiply
    85,047x = 185,400 × 185,400
  4. Step 4: Simplify right side
    85,047x = 34,373,160,000
  5. Step 5: Solve for x
    x = 34,373,160,000/85,047
  6. Step 6: Final answer
    x = 404,166.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.