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Finding the Third Proportional to 55,809 and 131,719.50

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Solution

The third proportional to 55,809 and 131,719.50 is: 310,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,809 : 131,719.50 = 131,719.50 : x
  2. Step 2: Convert to fraction form
    55,809/131,719.50 = 131,719.50/x
  3. Step 3: Cross multiply
    55,809x = 131,719.50 × 131,719.50
  4. Step 4: Simplify right side
    55,809x = 17,350,026,680.25
  5. Step 5: Solve for x
    x = 17,350,026,680.25/55,809
  6. Step 6: Final answer
    x = 310,882.24

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.