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Finding the Third Proportional to 115,905 and 165,433

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Solution

The third proportional to 115,905 and 165,433 is: 236,125.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,905 : 165,433 = 165,433 : x
  2. Step 2: Convert to fraction form
    115,905/165,433 = 165,433/x
  3. Step 3: Cross multiply
    115,905x = 165,433 × 165,433
  4. Step 4: Simplify right side
    115,905x = 27,368,077,489
  5. Step 5: Solve for x
    x = 27,368,077,489/115,905
  6. Step 6: Final answer
    x = 236,125.08

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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.