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Finding the Third Proportional to 113,586 and 171,971

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Solution

The third proportional to 113,586 and 171,971 is: 260,366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,586 : 171,971 = 171,971 : x
  2. Step 2: Convert to fraction form
    113,586/171,971 = 171,971/x
  3. Step 3: Cross multiply
    113,586x = 171,971 × 171,971
  4. Step 4: Simplify right side
    113,586x = 29,574,024,841
  5. Step 5: Solve for x
    x = 29,574,024,841/113,586
  6. Step 6: Final answer
    x = 260,366.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.