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Finding the Third Proportional to 59,740 and 81,180

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Solution

The third proportional to 59,740 and 81,180 is: 110,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,740 : 81,180 = 81,180 : x
  2. Step 2: Convert to fraction form
    59,740/81,180 = 81,180/x
  3. Step 3: Cross multiply
    59,740x = 81,180 × 81,180
  4. Step 4: Simplify right side
    59,740x = 6,590,192,400
  5. Step 5: Solve for x
    x = 6,590,192,400/59,740
  6. Step 6: Final answer
    x = 110,314.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.