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Finding the Third Proportional to 106,314 and 171,298

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Solution

The third proportional to 106,314 and 171,298 is: 276,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,314 : 171,298 = 171,298 : x
  2. Step 2: Convert to fraction form
    106,314/171,298 = 171,298/x
  3. Step 3: Cross multiply
    106,314x = 171,298 × 171,298
  4. Step 4: Simplify right side
    106,314x = 29,343,004,804
  5. Step 5: Solve for x
    x = 29,343,004,804/106,314
  6. Step 6: Final answer
    x = 276,003.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.