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Finding the Third Proportional to 79,700 and 174,920

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Solution

The third proportional to 79,700 and 174,920 is: 383,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,700 : 174,920 = 174,920 : x
  2. Step 2: Convert to fraction form
    79,700/174,920 = 174,920/x
  3. Step 3: Cross multiply
    79,700x = 174,920 × 174,920
  4. Step 4: Simplify right side
    79,700x = 30,597,006,400
  5. Step 5: Solve for x
    x = 30,597,006,400/79,700
  6. Step 6: Final answer
    x = 383,902.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.