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Finding the Third Proportional to 63,177 and 136,479

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Solution

The third proportional to 63,177 and 136,479 is: 294,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,177 : 136,479 = 136,479 : x
  2. Step 2: Convert to fraction form
    63,177/136,479 = 136,479/x
  3. Step 3: Cross multiply
    63,177x = 136,479 × 136,479
  4. Step 4: Simplify right side
    63,177x = 18,626,517,441
  5. Step 5: Solve for x
    x = 18,626,517,441/63,177
  6. Step 6: Final answer
    x = 294,830.67

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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.