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Finding the Third Proportional to 43,226 and 79,348

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Solution

The third proportional to 43,226 and 79,348 is: 145,655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,226 : 79,348 = 79,348 : x
  2. Step 2: Convert to fraction form
    43,226/79,348 = 79,348/x
  3. Step 3: Cross multiply
    43,226x = 79,348 × 79,348
  4. Step 4: Simplify right side
    43,226x = 6,296,105,104
  5. Step 5: Solve for x
    x = 6,296,105,104/43,226
  6. Step 6: Final answer
    x = 145,655.51

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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.