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Finding the Third Proportional to 56,961 and 86,129

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Solution

The third proportional to 56,961 and 86,129 is: 130,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,961 : 86,129 = 86,129 : x
  2. Step 2: Convert to fraction form
    56,961/86,129 = 86,129/x
  3. Step 3: Cross multiply
    56,961x = 86,129 × 86,129
  4. Step 4: Simplify right side
    56,961x = 7,418,204,641
  5. Step 5: Solve for x
    x = 7,418,204,641/56,961
  6. Step 6: Final answer
    x = 130,233.05

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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.