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Finding the Third Proportional to 57,508.50 and 88,083

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Solution

The third proportional to 57,508.50 and 88,083 is: 134,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,508.50 : 88,083 = 88,083 : x
  2. Step 2: Convert to fraction form
    57,508.50/88,083 = 88,083/x
  3. Step 3: Cross multiply
    57,508.50x = 88,083 × 88,083
  4. Step 4: Simplify right side
    57,508.50x = 7,758,614,889
  5. Step 5: Solve for x
    x = 7,758,614,889/57,508.50
  6. Step 6: Final answer
    x = 134,912.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.