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Finding the Third Proportional to 120,964 and 188,070

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Solution

The third proportional to 120,964 and 188,070 is: 292,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,964 : 188,070 = 188,070 : x
  2. Step 2: Convert to fraction form
    120,964/188,070 = 188,070/x
  3. Step 3: Cross multiply
    120,964x = 188,070 × 188,070
  4. Step 4: Simplify right side
    120,964x = 35,370,324,900
  5. Step 5: Solve for x
    x = 35,370,324,900/120,964
  6. Step 6: Final answer
    x = 292,403.73

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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.