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Finding the Third Proportional to 85,898 and 131,409

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Solution

The third proportional to 85,898 and 131,409 is: 201,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,898 : 131,409 = 131,409 : x
  2. Step 2: Convert to fraction form
    85,898/131,409 = 131,409/x
  3. Step 3: Cross multiply
    85,898x = 131,409 × 131,409
  4. Step 4: Simplify right side
    85,898x = 17,268,325,281
  5. Step 5: Solve for x
    x = 17,268,325,281/85,898
  6. Step 6: Final answer
    x = 201,032.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.