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Finding the Third Proportional to 49,049 and 73,207

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Solution

The third proportional to 49,049 and 73,207 is: 109,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,049 : 73,207 = 73,207 : x
  2. Step 2: Convert to fraction form
    49,049/73,207 = 73,207/x
  3. Step 3: Cross multiply
    49,049x = 73,207 × 73,207
  4. Step 4: Simplify right side
    49,049x = 5,359,264,849
  5. Step 5: Solve for x
    x = 5,359,264,849/49,049
  6. Step 6: Final answer
    x = 109,263.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.