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Finding the Third Proportional to 115,522 and 171,588

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Solution

The third proportional to 115,522 and 171,588 is: 254,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,522 : 171,588 = 171,588 : x
  2. Step 2: Convert to fraction form
    115,522/171,588 = 171,588/x
  3. Step 3: Cross multiply
    115,522x = 171,588 × 171,588
  4. Step 4: Simplify right side
    115,522x = 29,442,441,744
  5. Step 5: Solve for x
    x = 29,442,441,744/115,522
  6. Step 6: Final answer
    x = 254,864.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.