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Finding the Third Proportional to 59,841 and 91,057

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Solution

The third proportional to 59,841 and 91,057 is: 138,556.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,841 : 91,057 = 91,057 : x
  2. Step 2: Convert to fraction form
    59,841/91,057 = 91,057/x
  3. Step 3: Cross multiply
    59,841x = 91,057 × 91,057
  4. Step 4: Simplify right side
    59,841x = 8,291,377,249
  5. Step 5: Solve for x
    x = 8,291,377,249/59,841
  6. Step 6: Final answer
    x = 138,556.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.