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Finding the Third Proportional to 115,906 and 165,434

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Solution

The third proportional to 115,906 and 165,434 is: 236,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,906 : 165,434 = 165,434 : x
  2. Step 2: Convert to fraction form
    115,906/165,434 = 165,434/x
  3. Step 3: Cross multiply
    115,906x = 165,434 × 165,434
  4. Step 4: Simplify right side
    115,906x = 27,368,408,356
  5. Step 5: Solve for x
    x = 27,368,408,356/115,906
  6. Step 6: Final answer
    x = 236,125.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.