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Finding the Third Proportional to 110,586 and 171,513

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Solution

The third proportional to 110,586 and 171,513 is: 266,007.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,586 : 171,513 = 171,513 : x
  2. Step 2: Convert to fraction form
    110,586/171,513 = 171,513/x
  3. Step 3: Cross multiply
    110,586x = 171,513 × 171,513
  4. Step 4: Simplify right side
    110,586x = 29,416,709,169
  5. Step 5: Solve for x
    x = 29,416,709,169/110,586
  6. Step 6: Final answer
    x = 266,007.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.