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Finding the Third Proportional to 115,457 and 172,722

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Solution

The third proportional to 115,457 and 172,722 is: 258,389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,457 : 172,722 = 172,722 : x
  2. Step 2: Convert to fraction form
    115,457/172,722 = 172,722/x
  3. Step 3: Cross multiply
    115,457x = 172,722 × 172,722
  4. Step 4: Simplify right side
    115,457x = 29,832,889,284
  5. Step 5: Solve for x
    x = 29,832,889,284/115,457
  6. Step 6: Final answer
    x = 258,389.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.