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Finding the Third Proportional to 112,086 and 171,409

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Solution

The third proportional to 112,086 and 171,409 is: 262,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,086 : 171,409 = 171,409 : x
  2. Step 2: Convert to fraction form
    112,086/171,409 = 171,409/x
  3. Step 3: Cross multiply
    112,086x = 171,409 × 171,409
  4. Step 4: Simplify right side
    112,086x = 29,381,045,281
  5. Step 5: Solve for x
    x = 29,381,045,281/112,086
  6. Step 6: Final answer
    x = 262,129.48

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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.