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Finding the Third Proportional to 72,039.13 and 158,090.75

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Solution

The third proportional to 72,039.13 and 158,090.75 is: 346,932.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,039.13 : 158,090.75 = 158,090.75 : x
  2. Step 2: Convert to fraction form
    72,039.13/158,090.75 = 158,090.75/x
  3. Step 3: Cross multiply
    72,039.13x = 158,090.75 × 158,090.75
  4. Step 4: Simplify right side
    72,039.13x = 24,992,685,235.56
  5. Step 5: Solve for x
    x = 24,992,685,235.56/72,039.13
  6. Step 6: Final answer
    x = 346,932.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.