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Finding the Third Proportional to 67,082 and 145,342

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Solution

The third proportional to 67,082 and 145,342 is: 314,902.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,082 : 145,342 = 145,342 : x
  2. Step 2: Convert to fraction form
    67,082/145,342 = 145,342/x
  3. Step 3: Cross multiply
    67,082x = 145,342 × 145,342
  4. Step 4: Simplify right side
    67,082x = 21,124,296,964
  5. Step 5: Solve for x
    x = 21,124,296,964/67,082
  6. Step 6: Final answer
    x = 314,902.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.