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Finding the Third Proportional to 30,176 and 67,264

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Solution

The third proportional to 30,176 and 67,264 is: 149,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176 : 67,264 = 67,264 : x
  2. Step 2: Convert to fraction form
    30,176/67,264 = 67,264/x
  3. Step 3: Cross multiply
    30,176x = 67,264 × 67,264
  4. Step 4: Simplify right side
    30,176x = 4,524,445,696
  5. Step 5: Solve for x
    x = 4,524,445,696/30,176
  6. Step 6: Final answer
    x = 149,935.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.