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Finding the Third Proportional to 57,781 and 88,690

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Solution

The third proportional to 57,781 and 88,690 is: 136,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,781 : 88,690 = 88,690 : x
  2. Step 2: Convert to fraction form
    57,781/88,690 = 88,690/x
  3. Step 3: Cross multiply
    57,781x = 88,690 × 88,690
  4. Step 4: Simplify right side
    57,781x = 7,865,916,100
  5. Step 5: Solve for x
    x = 7,865,916,100/57,781
  6. Step 6: Final answer
    x = 136,133.26

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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.