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Finding the Third Proportional to 57,649.50 and 134,653.50

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Solution

The third proportional to 57,649.50 and 134,653.50 is: 314,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,649.50 : 134,653.50 = 134,653.50 : x
  2. Step 2: Convert to fraction form
    57,649.50/134,653.50 = 134,653.50/x
  3. Step 3: Cross multiply
    57,649.50x = 134,653.50 × 134,653.50
  4. Step 4: Simplify right side
    57,649.50x = 18,131,565,062.25
  5. Step 5: Solve for x
    x = 18,131,565,062.25/57,649.50
  6. Step 6: Final answer
    x = 314,513.83

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.