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Finding the Third Proportional to 120,176 and 188,514

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Solution

The third proportional to 120,176 and 188,514 is: 295,712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,176 : 188,514 = 188,514 : x
  2. Step 2: Convert to fraction form
    120,176/188,514 = 188,514/x
  3. Step 3: Cross multiply
    120,176x = 188,514 × 188,514
  4. Step 4: Simplify right side
    120,176x = 35,537,528,196
  5. Step 5: Solve for x
    x = 35,537,528,196/120,176
  6. Step 6: Final answer
    x = 295,712.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.