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Finding the Third Proportional to 57,383 and 88,631

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Solution

The third proportional to 57,383 and 88,631 is: 136,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,383 : 88,631 = 88,631 : x
  2. Step 2: Convert to fraction form
    57,383/88,631 = 88,631/x
  3. Step 3: Cross multiply
    57,383x = 88,631 × 88,631
  4. Step 4: Simplify right side
    57,383x = 7,855,454,161
  5. Step 5: Solve for x
    x = 7,855,454,161/57,383
  6. Step 6: Final answer
    x = 136,895.15

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Why These Related Problems?

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