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Finding the Third Proportional to 72,591.19 and 153,996.19

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Solution

The third proportional to 72,591.19 and 153,996.19 is: 326,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,591.19 : 153,996.19 = 153,996.19 : x
  2. Step 2: Convert to fraction form
    72,591.19/153,996.19 = 153,996.19/x
  3. Step 3: Cross multiply
    72,591.19x = 153,996.19 × 153,996.19
  4. Step 4: Simplify right side
    72,591.19x = 23,714,825,764.54
  5. Step 5: Solve for x
    x = 23,714,825,764.54/72,591.19
  6. Step 6: Final answer
    x = 326,690.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.