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Finding the Third Proportional to 85,130 and 134,734

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Solution

The third proportional to 85,130 and 134,734 is: 213,241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,130 : 134,734 = 134,734 : x
  2. Step 2: Convert to fraction form
    85,130/134,734 = 134,734/x
  3. Step 3: Cross multiply
    85,130x = 134,734 × 134,734
  4. Step 4: Simplify right side
    85,130x = 18,153,250,756
  5. Step 5: Solve for x
    x = 18,153,250,756/85,130
  6. Step 6: Final answer
    x = 213,241.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.