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Finding the Third Proportional to 75,786 and 163,636

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Solution

The third proportional to 75,786 and 163,636 is: 353,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,786 : 163,636 = 163,636 : x
  2. Step 2: Convert to fraction form
    75,786/163,636 = 163,636/x
  3. Step 3: Cross multiply
    75,786x = 163,636 × 163,636
  4. Step 4: Simplify right side
    75,786x = 26,776,740,496
  5. Step 5: Solve for x
    x = 26,776,740,496/75,786
  6. Step 6: Final answer
    x = 353,320.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.