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Finding the Third Proportional to 115,963 and 165,385

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Solution

The third proportional to 115,963 and 165,385 is: 235,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,963 : 165,385 = 165,385 : x
  2. Step 2: Convert to fraction form
    115,963/165,385 = 165,385/x
  3. Step 3: Cross multiply
    115,963x = 165,385 × 165,385
  4. Step 4: Simplify right side
    115,963x = 27,352,198,225
  5. Step 5: Solve for x
    x = 27,352,198,225/115,963
  6. Step 6: Final answer
    x = 235,870.05

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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.