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Finding the Third Proportional to 67,521 and 150,594

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Solution

The third proportional to 67,521 and 150,594 is: 335,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,521 : 150,594 = 150,594 : x
  2. Step 2: Convert to fraction form
    67,521/150,594 = 150,594/x
  3. Step 3: Cross multiply
    67,521x = 150,594 × 150,594
  4. Step 4: Simplify right side
    67,521x = 22,678,552,836
  5. Step 5: Solve for x
    x = 22,678,552,836/67,521
  6. Step 6: Final answer
    x = 335,874.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.