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Finding the Third Proportional to 115,308 and 172,962

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Solution

The third proportional to 115,308 and 172,962 is: 259,443

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,308 : 172,962 = 172,962 : x
  2. Step 2: Convert to fraction form
    115,308/172,962 = 172,962/x
  3. Step 3: Cross multiply
    115,308x = 172,962 × 172,962
  4. Step 4: Simplify right side
    115,308x = 29,915,853,444
  5. Step 5: Solve for x
    x = 29,915,853,444/115,308
  6. Step 6: Final answer
    x = 259,443

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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.