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Finding the Third Proportional to 67,177 and 147,602

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Solution

The third proportional to 67,177 and 147,602 is: 324,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,177 : 147,602 = 147,602 : x
  2. Step 2: Convert to fraction form
    67,177/147,602 = 147,602/x
  3. Step 3: Cross multiply
    67,177x = 147,602 × 147,602
  4. Step 4: Simplify right side
    67,177x = 21,786,350,404
  5. Step 5: Solve for x
    x = 21,786,350,404/67,177
  6. Step 6: Final answer
    x = 324,312.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.