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Finding the Third Proportional to 58,066 and 86,873

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Solution

The third proportional to 58,066 and 86,873 is: 129,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,066 : 86,873 = 86,873 : x
  2. Step 2: Convert to fraction form
    58,066/86,873 = 86,873/x
  3. Step 3: Cross multiply
    58,066x = 86,873 × 86,873
  4. Step 4: Simplify right side
    58,066x = 7,546,918,129
  5. Step 5: Solve for x
    x = 7,546,918,129/58,066
  6. Step 6: Final answer
    x = 129,971.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.