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Finding the Third Proportional to 75,442.13 and 157,080.75

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Solution

The third proportional to 75,442.13 and 157,080.75 is: 327,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,442.13 : 157,080.75 = 157,080.75 : x
  2. Step 2: Convert to fraction form
    75,442.13/157,080.75 = 157,080.75/x
  3. Step 3: Cross multiply
    75,442.13x = 157,080.75 × 157,080.75
  4. Step 4: Simplify right side
    75,442.13x = 24,674,362,020.56
  5. Step 5: Solve for x
    x = 24,674,362,020.56/75,442.13
  6. Step 6: Final answer
    x = 327,063.45

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.