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Finding the Third Proportional to 75,426 and 165,792

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Solution

The third proportional to 75,426 and 165,792 is: 364,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,426 : 165,792 = 165,792 : x
  2. Step 2: Convert to fraction form
    75,426/165,792 = 165,792/x
  3. Step 3: Cross multiply
    75,426x = 165,792 × 165,792
  4. Step 4: Simplify right side
    75,426x = 27,486,987,264
  5. Step 5: Solve for x
    x = 27,486,987,264/75,426
  6. Step 6: Final answer
    x = 364,423.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.