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Finding the Third Proportional to 57,512 and 88,088

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Solution

The third proportional to 57,512 and 88,088 is: 134,919.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,512 : 88,088 = 88,088 : x
  2. Step 2: Convert to fraction form
    57,512/88,088 = 88,088/x
  3. Step 3: Cross multiply
    57,512x = 88,088 × 88,088
  4. Step 4: Simplify right side
    57,512x = 7,759,495,744
  5. Step 5: Solve for x
    x = 7,759,495,744/57,512
  6. Step 6: Final answer
    x = 134,919.59

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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.