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Finding the Third Proportional to 79,521 and 168,510

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Solution

The third proportional to 79,521 and 168,510 is: 357,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,521 : 168,510 = 168,510 : x
  2. Step 2: Convert to fraction form
    79,521/168,510 = 168,510/x
  3. Step 3: Cross multiply
    79,521x = 168,510 × 168,510
  4. Step 4: Simplify right side
    79,521x = 28,395,620,100
  5. Step 5: Solve for x
    x = 28,395,620,100/79,521
  6. Step 6: Final answer
    x = 357,083.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.