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Finding the Third Proportional to 120,203 and 186,114

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Solution

The third proportional to 120,203 and 186,114 is: 288,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,203 : 186,114 = 186,114 : x
  2. Step 2: Convert to fraction form
    120,203/186,114 = 186,114/x
  3. Step 3: Cross multiply
    120,203x = 186,114 × 186,114
  4. Step 4: Simplify right side
    120,203x = 34,638,420,996
  5. Step 5: Solve for x
    x = 34,638,420,996/120,203
  6. Step 6: Final answer
    x = 288,166.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.