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Finding the Third Proportional to 73,550 and 149,105

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Solution

The third proportional to 73,550 and 149,105 is: 302,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,550 : 149,105 = 149,105 : x
  2. Step 2: Convert to fraction form
    73,550/149,105 = 149,105/x
  3. Step 3: Cross multiply
    73,550x = 149,105 × 149,105
  4. Step 4: Simplify right side
    73,550x = 22,232,301,025
  5. Step 5: Solve for x
    x = 22,232,301,025/73,550
  6. Step 6: Final answer
    x = 302,274.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.