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Finding the Third Proportional to 59,997 and 85,740

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Solution

The third proportional to 59,997 and 85,740 is: 122,528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,997 : 85,740 = 85,740 : x
  2. Step 2: Convert to fraction form
    59,997/85,740 = 85,740/x
  3. Step 3: Cross multiply
    59,997x = 85,740 × 85,740
  4. Step 4: Simplify right side
    59,997x = 7,351,347,600
  5. Step 5: Solve for x
    x = 7,351,347,600/59,997
  6. Step 6: Final answer
    x = 122,528.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.