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Finding the Third Proportional to 172,006 and 252,951

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Solution

The third proportional to 172,006 and 252,951 is: 371,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,006 : 252,951 = 252,951 : x
  2. Step 2: Convert to fraction form
    172,006/252,951 = 252,951/x
  3. Step 3: Cross multiply
    172,006x = 252,951 × 252,951
  4. Step 4: Simplify right side
    172,006x = 63,984,208,401
  5. Step 5: Solve for x
    x = 63,984,208,401/172,006
  6. Step 6: Final answer
    x = 371,988.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.