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Finding the Third Proportional to 114,534 and 172,017

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Solution

The third proportional to 114,534 and 172,017 is: 258,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,534 : 172,017 = 172,017 : x
  2. Step 2: Convert to fraction form
    114,534/172,017 = 172,017/x
  3. Step 3: Cross multiply
    114,534x = 172,017 × 172,017
  4. Step 4: Simplify right side
    114,534x = 29,589,848,289
  5. Step 5: Solve for x
    x = 29,589,848,289/114,534
  6. Step 6: Final answer
    x = 258,349.91

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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.