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Finding the Third Proportional to 114,538 and 172,023

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Solution

The third proportional to 114,538 and 172,023 is: 258,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,538 : 172,023 = 172,023 : x
  2. Step 2: Convert to fraction form
    114,538/172,023 = 172,023/x
  3. Step 3: Cross multiply
    114,538x = 172,023 × 172,023
  4. Step 4: Simplify right side
    114,538x = 29,591,912,529
  5. Step 5: Solve for x
    x = 29,591,912,529/114,538
  6. Step 6: Final answer
    x = 258,358.91

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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.