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Finding the Third Proportional to 116,271 and 251,126

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Solution

The third proportional to 116,271 and 251,126 is: 542,390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,271 : 251,126 = 251,126 : x
  2. Step 2: Convert to fraction form
    116,271/251,126 = 251,126/x
  3. Step 3: Cross multiply
    116,271x = 251,126 × 251,126
  4. Step 4: Simplify right side
    116,271x = 63,064,267,876
  5. Step 5: Solve for x
    x = 63,064,267,876/116,271
  6. Step 6: Final answer
    x = 542,390.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.