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Finding the Third Proportional to 108,048 and 163,564

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Solution

The third proportional to 108,048 and 163,564 is: 247,604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,048 : 163,564 = 163,564 : x
  2. Step 2: Convert to fraction form
    108,048/163,564 = 163,564/x
  3. Step 3: Cross multiply
    108,048x = 163,564 × 163,564
  4. Step 4: Simplify right side
    108,048x = 26,753,182,096
  5. Step 5: Solve for x
    x = 26,753,182,096/108,048
  6. Step 6: Final answer
    x = 247,604.60

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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.