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Finding the Third Proportional to 40,550 and 83,044

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Solution

The third proportional to 40,550 and 83,044 is: 170,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,550 : 83,044 = 83,044 : x
  2. Step 2: Convert to fraction form
    40,550/83,044 = 83,044/x
  3. Step 3: Cross multiply
    40,550x = 83,044 × 83,044
  4. Step 4: Simplify right side
    40,550x = 6,896,305,936
  5. Step 5: Solve for x
    x = 6,896,305,936/40,550
  6. Step 6: Final answer
    x = 170,069.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.