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Finding the Third Proportional to 70,938 and 152,329

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Solution

The third proportional to 70,938 and 152,329 is: 327,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,938 : 152,329 = 152,329 : x
  2. Step 2: Convert to fraction form
    70,938/152,329 = 152,329/x
  3. Step 3: Cross multiply
    70,938x = 152,329 × 152,329
  4. Step 4: Simplify right side
    70,938x = 23,204,124,241
  5. Step 5: Solve for x
    x = 23,204,124,241/70,938
  6. Step 6: Final answer
    x = 327,104.29

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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.