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Finding the Third Proportional to 108,910 and 163,357

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Solution

The third proportional to 108,910 and 163,357 is: 245,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,910 : 163,357 = 163,357 : x
  2. Step 2: Convert to fraction form
    108,910/163,357 = 163,357/x
  3. Step 3: Cross multiply
    108,910x = 163,357 × 163,357
  4. Step 4: Simplify right side
    108,910x = 26,685,509,449
  5. Step 5: Solve for x
    x = 26,685,509,449/108,910
  6. Step 6: Final answer
    x = 245,023.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.