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Finding the Third Proportional to 75,996 and 163,656

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Solution

The third proportional to 75,996 and 163,656 is: 352,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,996 : 163,656 = 163,656 : x
  2. Step 2: Convert to fraction form
    75,996/163,656 = 163,656/x
  3. Step 3: Cross multiply
    75,996x = 163,656 × 163,656
  4. Step 4: Simplify right side
    75,996x = 26,783,286,336
  5. Step 5: Solve for x
    x = 26,783,286,336/75,996
  6. Step 6: Final answer
    x = 352,430.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.