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Finding the Third Proportional to 79,496 and 170,128

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Solution

The third proportional to 79,496 and 170,128 is: 364,087.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,496 : 170,128 = 170,128 : x
  2. Step 2: Convert to fraction form
    79,496/170,128 = 170,128/x
  3. Step 3: Cross multiply
    79,496x = 170,128 × 170,128
  4. Step 4: Simplify right side
    79,496x = 28,943,536,384
  5. Step 5: Solve for x
    x = 28,943,536,384/79,496
  6. Step 6: Final answer
    x = 364,087.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.