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Finding the Third Proportional to 34,269 and 51,119

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Solution

The third proportional to 34,269 and 51,119 is: 76,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,269 : 51,119 = 51,119 : x
  2. Step 2: Convert to fraction form
    34,269/51,119 = 51,119/x
  3. Step 3: Cross multiply
    34,269x = 51,119 × 51,119
  4. Step 4: Simplify right side
    34,269x = 2,613,152,161
  5. Step 5: Solve for x
    x = 2,613,152,161/34,269
  6. Step 6: Final answer
    x = 76,254.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.