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Finding the Third Proportional to 128,749 and 188,514

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Solution

The third proportional to 128,749 and 188,514 is: 276,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,749 : 188,514 = 188,514 : x
  2. Step 2: Convert to fraction form
    128,749/188,514 = 188,514/x
  3. Step 3: Cross multiply
    128,749x = 188,514 × 188,514
  4. Step 4: Simplify right side
    128,749x = 35,537,528,196
  5. Step 5: Solve for x
    x = 35,537,528,196/128,749
  6. Step 6: Final answer
    x = 276,021.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.