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Finding the Third Proportional to 114,924 and 172,524

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Solution

The third proportional to 114,924 and 172,524 is: 258,993.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,924 : 172,524 = 172,524 : x
  2. Step 2: Convert to fraction form
    114,924/172,524 = 172,524/x
  3. Step 3: Cross multiply
    114,924x = 172,524 × 172,524
  4. Step 4: Simplify right side
    114,924x = 29,764,530,576
  5. Step 5: Solve for x
    x = 29,764,530,576/114,924
  6. Step 6: Final answer
    x = 258,993.17

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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.