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Finding the Third Proportional to 43,234 and 79,364

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Solution

The third proportional to 43,234 and 79,364 is: 145,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,234 : 79,364 = 79,364 : x
  2. Step 2: Convert to fraction form
    43,234/79,364 = 79,364/x
  3. Step 3: Cross multiply
    43,234x = 79,364 × 79,364
  4. Step 4: Simplify right side
    43,234x = 6,298,644,496
  5. Step 5: Solve for x
    x = 6,298,644,496/43,234
  6. Step 6: Final answer
    x = 145,687.29

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.