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Finding the Third Proportional to 31,420 and 68,369

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Solution

The third proportional to 31,420 and 68,369 is: 148,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420 : 68,369 = 68,369 : x
  2. Step 2: Convert to fraction form
    31,420/68,369 = 68,369/x
  3. Step 3: Cross multiply
    31,420x = 68,369 × 68,369
  4. Step 4: Simplify right side
    31,420x = 4,674,320,161
  5. Step 5: Solve for x
    x = 4,674,320,161/31,420
  6. Step 6: Final answer
    x = 148,768.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.