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Finding the Third Proportional to 114,522 and 173,039

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Solution

The third proportional to 114,522 and 173,039 is: 261,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,522 : 173,039 = 173,039 : x
  2. Step 2: Convert to fraction form
    114,522/173,039 = 173,039/x
  3. Step 3: Cross multiply
    114,522x = 173,039 × 173,039
  4. Step 4: Simplify right side
    114,522x = 29,942,495,521
  5. Step 5: Solve for x
    x = 29,942,495,521/114,522
  6. Step 6: Final answer
    x = 261,456.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.