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Finding the Third Proportional to 40,120 and 87,044

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Solution

The third proportional to 40,120 and 87,044 is: 188,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,120 : 87,044 = 87,044 : x
  2. Step 2: Convert to fraction form
    40,120/87,044 = 87,044/x
  3. Step 3: Cross multiply
    40,120x = 87,044 × 87,044
  4. Step 4: Simplify right side
    40,120x = 7,576,657,936
  5. Step 5: Solve for x
    x = 7,576,657,936/40,120
  6. Step 6: Final answer
    x = 188,849.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.