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Finding the Third Proportional to 67,435 and 145,237

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Solution

The third proportional to 67,435 and 145,237 is: 312,801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,435 : 145,237 = 145,237 : x
  2. Step 2: Convert to fraction form
    67,435/145,237 = 145,237/x
  3. Step 3: Cross multiply
    67,435x = 145,237 × 145,237
  4. Step 4: Simplify right side
    67,435x = 21,093,786,169
  5. Step 5: Solve for x
    x = 21,093,786,169/67,435
  6. Step 6: Final answer
    x = 312,801.75

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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.