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Finding the Third Proportional to 108,564 and 149,400

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Solution

The third proportional to 108,564 and 149,400 is: 205,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,564 : 149,400 = 149,400 : x
  2. Step 2: Convert to fraction form
    108,564/149,400 = 149,400/x
  3. Step 3: Cross multiply
    108,564x = 149,400 × 149,400
  4. Step 4: Simplify right side
    108,564x = 22,320,360,000
  5. Step 5: Solve for x
    x = 22,320,360,000/108,564
  6. Step 6: Final answer
    x = 205,596.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.