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Finding the Third Proportional to 49,211 and 76,409

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Solution

The third proportional to 49,211 and 76,409 is: 118,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,211 : 76,409 = 76,409 : x
  2. Step 2: Convert to fraction form
    49,211/76,409 = 76,409/x
  3. Step 3: Cross multiply
    49,211x = 76,409 × 76,409
  4. Step 4: Simplify right side
    49,211x = 5,838,335,281
  5. Step 5: Solve for x
    x = 5,838,335,281/49,211
  6. Step 6: Final answer
    x = 118,638.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.