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Finding the Third Proportional to 67,282 and 158,598

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Solution

The third proportional to 67,282 and 158,598 is: 373,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,282 : 158,598 = 158,598 : x
  2. Step 2: Convert to fraction form
    67,282/158,598 = 158,598/x
  3. Step 3: Cross multiply
    67,282x = 158,598 × 158,598
  4. Step 4: Simplify right side
    67,282x = 25,153,325,604
  5. Step 5: Solve for x
    x = 25,153,325,604/67,282
  6. Step 6: Final answer
    x = 373,849.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.