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Finding the Third Proportional to 115,451 and 172,714

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Solution

The third proportional to 115,451 and 172,714 is: 258,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,451 : 172,714 = 172,714 : x
  2. Step 2: Convert to fraction form
    115,451/172,714 = 172,714/x
  3. Step 3: Cross multiply
    115,451x = 172,714 × 172,714
  4. Step 4: Simplify right side
    115,451x = 29,830,125,796
  5. Step 5: Solve for x
    x = 29,830,125,796/115,451
  6. Step 6: Final answer
    x = 258,379.10

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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.