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Finding the Third Proportional to 73,021 and 149,498

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Solution

The third proportional to 73,021 and 149,498 is: 306,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,021 : 149,498 = 149,498 : x
  2. Step 2: Convert to fraction form
    73,021/149,498 = 149,498/x
  3. Step 3: Cross multiply
    73,021x = 149,498 × 149,498
  4. Step 4: Simplify right side
    73,021x = 22,349,652,004
  5. Step 5: Solve for x
    x = 22,349,652,004/73,021
  6. Step 6: Final answer
    x = 306,071.57

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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.