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Finding the Third Proportional to 52,177 and 79,263

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Solution

The third proportional to 52,177 and 79,263 is: 120,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,177 : 79,263 = 79,263 : x
  2. Step 2: Convert to fraction form
    52,177/79,263 = 79,263/x
  3. Step 3: Cross multiply
    52,177x = 79,263 × 79,263
  4. Step 4: Simplify right side
    52,177x = 6,282,623,169
  5. Step 5: Solve for x
    x = 6,282,623,169/52,177
  6. Step 6: Final answer
    x = 120,409.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.