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Finding the Third Proportional to 79,554 and 170,046

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Solution

The third proportional to 79,554 and 170,046 is: 363,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,554 : 170,046 = 170,046 : x
  2. Step 2: Convert to fraction form
    79,554/170,046 = 170,046/x
  3. Step 3: Cross multiply
    79,554x = 170,046 × 170,046
  4. Step 4: Simplify right side
    79,554x = 28,915,642,116
  5. Step 5: Solve for x
    x = 28,915,642,116/79,554
  6. Step 6: Final answer
    x = 363,471.88

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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.