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Finding the Third Proportional to 74,094.75 and 144,514.13

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Solution

The third proportional to 74,094.75 and 144,514.13 is: 281,859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,094.75 : 144,514.13 = 144,514.13 : x
  2. Step 2: Convert to fraction form
    74,094.75/144,514.13 = 144,514.13/x
  3. Step 3: Cross multiply
    74,094.75x = 144,514.13 × 144,514.13
  4. Step 4: Simplify right side
    74,094.75x = 20,884,332,324.52
  5. Step 5: Solve for x
    x = 20,884,332,324.52/74,094.75
  6. Step 6: Final answer
    x = 281,859.81

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.