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Finding the Third Proportional to 56,963 and 86,293

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Solution

The third proportional to 56,963 and 86,293 is: 130,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,963 : 86,293 = 86,293 : x
  2. Step 2: Convert to fraction form
    56,963/86,293 = 86,293/x
  3. Step 3: Cross multiply
    56,963x = 86,293 × 86,293
  4. Step 4: Simplify right side
    56,963x = 7,446,481,849
  5. Step 5: Solve for x
    x = 7,446,481,849/56,963
  6. Step 6: Final answer
    x = 130,724.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.