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Finding the Third Proportional to 116,872 and 171,575

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Solution

The third proportional to 116,872 and 171,575 is: 251,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,872 : 171,575 = 171,575 : x
  2. Step 2: Convert to fraction form
    116,872/171,575 = 171,575/x
  3. Step 3: Cross multiply
    116,872x = 171,575 × 171,575
  4. Step 4: Simplify right side
    116,872x = 29,437,980,625
  5. Step 5: Solve for x
    x = 29,437,980,625/116,872
  6. Step 6: Final answer
    x = 251,882.24

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