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Finding the Third Proportional to 119,127 and 259,611

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Solution

The third proportional to 119,127 and 259,611 is: 565,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,127 : 259,611 = 259,611 : x
  2. Step 2: Convert to fraction form
    119,127/259,611 = 259,611/x
  3. Step 3: Cross multiply
    119,127x = 259,611 × 259,611
  4. Step 4: Simplify right side
    119,127x = 67,397,871,321
  5. Step 5: Solve for x
    x = 67,397,871,321/119,127
  6. Step 6: Final answer
    x = 565,764.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.