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Finding the Third Proportional to 57,609 and 88,872

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Solution

The third proportional to 57,609 and 88,872 is: 137,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,609 : 88,872 = 88,872 : x
  2. Step 2: Convert to fraction form
    57,609/88,872 = 88,872/x
  3. Step 3: Cross multiply
    57,609x = 88,872 × 88,872
  4. Step 4: Simplify right side
    57,609x = 7,898,232,384
  5. Step 5: Solve for x
    x = 7,898,232,384/57,609
  6. Step 6: Final answer
    x = 137,100.67

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.