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Finding the Third Proportional to 49,101 and 105,717

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Solution

The third proportional to 49,101 and 105,717 is: 227,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,101 : 105,717 = 105,717 : x
  2. Step 2: Convert to fraction form
    49,101/105,717 = 105,717/x
  3. Step 3: Cross multiply
    49,101x = 105,717 × 105,717
  4. Step 4: Simplify right side
    49,101x = 11,176,084,089
  5. Step 5: Solve for x
    x = 11,176,084,089/49,101
  6. Step 6: Final answer
    x = 227,614.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.