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Finding the Third Proportional to 114,941 and 172,567

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Solution

The third proportional to 114,941 and 172,567 is: 259,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,941 : 172,567 = 172,567 : x
  2. Step 2: Convert to fraction form
    114,941/172,567 = 172,567/x
  3. Step 3: Cross multiply
    114,941x = 172,567 × 172,567
  4. Step 4: Simplify right side
    114,941x = 29,779,369,489
  5. Step 5: Solve for x
    x = 29,779,369,489/114,941
  6. Step 6: Final answer
    x = 259,083.96

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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.