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Finding the Third Proportional to 114,513 and 171,243

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Solution

The third proportional to 114,513 and 171,243 is: 256,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,513 : 171,243 = 171,243 : x
  2. Step 2: Convert to fraction form
    114,513/171,243 = 171,243/x
  3. Step 3: Cross multiply
    114,513x = 171,243 × 171,243
  4. Step 4: Simplify right side
    114,513x = 29,324,165,049
  5. Step 5: Solve for x
    x = 29,324,165,049/114,513
  6. Step 6: Final answer
    x = 256,077.17

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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.