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Finding the Third Proportional to 73,174 and 149,534

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Solution

The third proportional to 73,174 and 149,534 is: 305,578.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,174 : 149,534 = 149,534 : x
  2. Step 2: Convert to fraction form
    73,174/149,534 = 149,534/x
  3. Step 3: Cross multiply
    73,174x = 149,534 × 149,534
  4. Step 4: Simplify right side
    73,174x = 22,360,417,156
  5. Step 5: Solve for x
    x = 22,360,417,156/73,174
  6. Step 6: Final answer
    x = 305,578.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.