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Finding the Third Proportional to 108,039 and 163,549

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Solution

The third proportional to 108,039 and 163,549 is: 247,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,039 : 163,549 = 163,549 : x
  2. Step 2: Convert to fraction form
    108,039/163,549 = 163,549/x
  3. Step 3: Cross multiply
    108,039x = 163,549 × 163,549
  4. Step 4: Simplify right side
    108,039x = 26,748,275,401
  5. Step 5: Solve for x
    x = 26,748,275,401/108,039
  6. Step 6: Final answer
    x = 247,579.81

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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.