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Finding the Third Proportional to 85,535 and 134,176

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Solution

The third proportional to 85,535 and 134,176 is: 210,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,535 : 134,176 = 134,176 : x
  2. Step 2: Convert to fraction form
    85,535/134,176 = 134,176/x
  3. Step 3: Cross multiply
    85,535x = 134,176 × 134,176
  4. Step 4: Simplify right side
    85,535x = 18,003,198,976
  5. Step 5: Solve for x
    x = 18,003,198,976/85,535
  6. Step 6: Final answer
    x = 210,477.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.