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Finding the Third Proportional to 114,426 and 172,475

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Solution

The third proportional to 114,426 and 172,475 is: 259,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,426 : 172,475 = 172,475 : x
  2. Step 2: Convert to fraction form
    114,426/172,475 = 172,475/x
  3. Step 3: Cross multiply
    114,426x = 172,475 × 172,475
  4. Step 4: Simplify right side
    114,426x = 29,747,625,625
  5. Step 5: Solve for x
    x = 29,747,625,625/114,426
  6. Step 6: Final answer
    x = 259,972.61

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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.