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Finding the Third Proportional to 79,300 and 172,424

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Solution

The third proportional to 79,300 and 172,424 is: 374,905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,300 : 172,424 = 172,424 : x
  2. Step 2: Convert to fraction form
    79,300/172,424 = 172,424/x
  3. Step 3: Cross multiply
    79,300x = 172,424 × 172,424
  4. Step 4: Simplify right side
    79,300x = 29,730,035,776
  5. Step 5: Solve for x
    x = 29,730,035,776/79,300
  6. Step 6: Final answer
    x = 374,905.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.