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Finding the Third Proportional to 108,619 and 163,623

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Solution

The third proportional to 108,619 and 163,623 is: 246,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,619 : 163,623 = 163,623 : x
  2. Step 2: Convert to fraction form
    108,619/163,623 = 163,623/x
  3. Step 3: Cross multiply
    108,619x = 163,623 × 163,623
  4. Step 4: Simplify right side
    108,619x = 26,772,486,129
  5. Step 5: Solve for x
    x = 26,772,486,129/108,619
  6. Step 6: Final answer
    x = 246,480.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.