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Finding the Third Proportional to 115,314 and 172,971

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Solution

The third proportional to 115,314 and 172,971 is: 259,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,314 : 172,971 = 172,971 : x
  2. Step 2: Convert to fraction form
    115,314/172,971 = 172,971/x
  3. Step 3: Cross multiply
    115,314x = 172,971 × 172,971
  4. Step 4: Simplify right side
    115,314x = 29,918,966,841
  5. Step 5: Solve for x
    x = 29,918,966,841/115,314
  6. Step 6: Final answer
    x = 259,456.50

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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.