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Finding the Third Proportional to 106,316 and 171,301

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Solution

The third proportional to 106,316 and 171,301 is: 276,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,316 : 171,301 = 171,301 : x
  2. Step 2: Convert to fraction form
    106,316/171,301 = 171,301/x
  3. Step 3: Cross multiply
    106,316x = 171,301 × 171,301
  4. Step 4: Simplify right side
    106,316x = 29,344,032,601
  5. Step 5: Solve for x
    x = 29,344,032,601/106,316
  6. Step 6: Final answer
    x = 276,007.68

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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.