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Finding the Third Proportional to 71,467 and 152,426

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Solution

The third proportional to 71,467 and 152,426 is: 325,096.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,467 : 152,426 = 152,426 : x
  2. Step 2: Convert to fraction form
    71,467/152,426 = 152,426/x
  3. Step 3: Cross multiply
    71,467x = 152,426 × 152,426
  4. Step 4: Simplify right side
    71,467x = 23,233,685,476
  5. Step 5: Solve for x
    x = 23,233,685,476/71,467
  6. Step 6: Final answer
    x = 325,096.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.