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Finding the Third Proportional to 75,586.50 and 157,389.75

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Solution

The third proportional to 75,586.50 and 157,389.75 is: 327,724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,586.50 : 157,389.75 = 157,389.75 : x
  2. Step 2: Convert to fraction form
    75,586.50/157,389.75 = 157,389.75/x
  3. Step 3: Cross multiply
    75,586.50x = 157,389.75 × 157,389.75
  4. Step 4: Simplify right side
    75,586.50x = 24,771,533,405.06
  5. Step 5: Solve for x
    x = 24,771,533,405.06/75,586.50
  6. Step 6: Final answer
    x = 327,724.31

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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.