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Finding the Third Proportional to 40,270 and 86,740

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Solution

The third proportional to 40,270 and 86,740 is: 186,834.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,270 : 86,740 = 86,740 : x
  2. Step 2: Convert to fraction form
    40,270/86,740 = 86,740/x
  3. Step 3: Cross multiply
    40,270x = 86,740 × 86,740
  4. Step 4: Simplify right side
    40,270x = 7,523,827,600
  5. Step 5: Solve for x
    x = 7,523,827,600/40,270
  6. Step 6: Final answer
    x = 186,834.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.