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Finding the Third Proportional to 115,567 and 172,884

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Solution

The third proportional to 115,567 and 172,884 is: 258,628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,567 : 172,884 = 172,884 : x
  2. Step 2: Convert to fraction form
    115,567/172,884 = 172,884/x
  3. Step 3: Cross multiply
    115,567x = 172,884 × 172,884
  4. Step 4: Simplify right side
    115,567x = 29,888,877,456
  5. Step 5: Solve for x
    x = 29,888,877,456/115,567
  6. Step 6: Final answer
    x = 258,628.13

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