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Finding the Third Proportional to 49,010 and 106,910

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Solution

The third proportional to 49,010 and 106,910 is: 233,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,010 : 106,910 = 106,910 : x
  2. Step 2: Convert to fraction form
    49,010/106,910 = 106,910/x
  3. Step 3: Cross multiply
    49,010x = 106,910 × 106,910
  4. Step 4: Simplify right side
    49,010x = 11,429,748,100
  5. Step 5: Solve for x
    x = 11,429,748,100/49,010
  6. Step 6: Final answer
    x = 233,212.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.