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Finding the Third Proportional to 85,132 and 134,738

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Solution

The third proportional to 85,132 and 134,738 is: 213,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,132 : 134,738 = 134,738 : x
  2. Step 2: Convert to fraction form
    85,132/134,738 = 134,738/x
  3. Step 3: Cross multiply
    85,132x = 134,738 × 134,738
  4. Step 4: Simplify right side
    85,132x = 18,154,328,644
  5. Step 5: Solve for x
    x = 18,154,328,644/85,132
  6. Step 6: Final answer
    x = 213,249.17

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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.