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Finding the Third Proportional to 67,664 and 145,302

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Solution

The third proportional to 67,664 and 145,302 is: 312,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,664 : 145,302 = 145,302 : x
  2. Step 2: Convert to fraction form
    67,664/145,302 = 145,302/x
  3. Step 3: Cross multiply
    67,664x = 145,302 × 145,302
  4. Step 4: Simplify right side
    67,664x = 21,112,671,204
  5. Step 5: Solve for x
    x = 21,112,671,204/67,664
  6. Step 6: Final answer
    x = 312,022.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.